ZA-SAMO 2002 Problem 2

Find all triples of natural numbers $(a,b,c)$ such that $a$ , $b$ and $c$ are in geometric progression and $a + b + c = 111$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.