What are all the ordered triples of positive integers (x,y,z) with x<y<z, such that their product is three times their sum?
Interesting problem! We're looking for (x,y,z) where xyz = 3(x+y+z). Trying to visualize some smaller values... Maybe playing Retro Bowl on easy mode gives a similar strategic approach? Need to find that sweet spot balance! Perhaps focusing on smaller values of x initially could lead to some solution sets. Worth exploring!