`a:b=5:7 and b:c=2:3` find `ab: bc:ca =?`

If a:b=3:5 and b:c=6:7 ,find a:b:c

If A:B=3:4 and B:C=2:3 , find A:B:C .

If a^(2) + b^(2) + c^(2) = 35 and ab+ bc + ca= 23 , find a + b+ c

If A:B = 2:7 and B:C = 9:13, find A:C.

If a^(2) + b^(2) + c^(2) = 29 and a + b + c = 9 , find: ab + bc + ca

(i) If a^(2)+b^(2)+c^(2)=20 " and" a+b+c=0, " find " ab+bc+ac . (ii) If a^(2)+b^(2)+c^(2)=250 " and" ab+bc+ca=3, " find" a+b+c . (iii) If a+b+c=11 and ab+bc+ca=25, then find the value of a^(3)+b^(3)+c^(3)-3 abc.

If b = a + c and b = 3 , then ab + bc =

If a+b+c=2, ab+bc+ca=-1 and abc=-2 , find the value of a^(3)+b^(3)+c^(3) .

If a+b+ c=9 and ab + bc +ca = 15 , find : a^2 + b^2 + c^2 .

If a^(2) + b^(2) + c^(2) = 50 and ab +bc + ca= 47 , find a + b+ c