Three numbers are in continued proportion whose mean proportional is 12 and sum of the remaning two numbers is 26 then find these numbers

as they are in continued proportion

given that mean proportional is 12

: b=12

so

144 = ac

c=144\a

the sum of the two numbers

a+c=26

a+144\a=26

step 2: simplify using factorization

a=18 or a=8

c=8 or c=18

hence the numbers are 8,12,18 or 18,12,8

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