The search for a plane carrying a Manhattan CEO, her two young sons and her pilot boyfriend that disappeared in the Bermuda Triangle entered its third day Wednesday, as the Coast Guard tweeted a new picture that appears to show parts of the missing aircraft.

The debris was discovered floating 15 miles east of the island of Eleuthera, and matches the type of plane — a twin-engine turboprop MU-2B — that vanished.

But it hasn’t yet been confirmed that it belongs to the missing plane, Coast Guard officials told The Post on Wednesday.

Missing are Jennifer Blumin, CEO of event planner Skylight Group, her 4- and 3-year-old sons and boyfriend Nathan Ulrich, of New Hampshire. The four had just spent Mother’s Day in Puerto Rico and were flying to Florida when the plane disappeared Monday afternoon.

On Wednesday, the Coast Guard tweeted out a picture showing the debris, which appears to be chunks of the aircraft and a red “Remove Before Flight” tag.

Pieces of the seats have also been recovered, officials said.

The debris was sent to the mechanic who last worked on the plane for possible identification, but officials believe it’s more than likely from the missing aircraft, which Blumin owned.

“We’re putting two and two together and assuming that it is, unless we get more information,” said Coast Guard spokesman Luke Clayton.

So far, the Coast Guard has combed more than 8,200 square miles surrounding the Bahamas, and crews have been searching day and night since the plane went missing. “Certainly, as time goes on, that’s a factor in survivability and factored into our search,” said Coast Guard spokesman Eric Woodall. “We’re a search and rescue agency, so we’re still out there looking for survivors.”

The plane was supposed to stop to refuel in Titusville, Fla., at 2:44 p.m. but it vanished 37 miles east of Eleuthera a half-hour before its scheduled landing.