If 120 is divided into 3 parts which are proportional to 1, (1)/(2), and (1)/(6), what is the middle part?

Question

If 120 is divided into 3 parts which are proportional to 1,
`(1)/(2)`, and
`(1)/(6)`, what is the middle part?

Answer 1

So if we put 120 Into 3 parts 72,36,12 then the answer would be 36

Answer 2

`k+(k)/(2)+(k)/(6)=120\\\\6k+3k+k=720\\10k=720\\k=72`

72,36,12

answer: 36