Let those three become sides of a new triangle i.e. (a,b,c) =(ma , mb , mc ).
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It is up to you to find a triplet (a,b,c) such that the above procedure can be executed a maximal number of times, creating sets of “medians“ with integer values only.
The answer should include: (a,b,c) and all interim sets of medians.
Rem: Can be solved analytically.
