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$$\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 5 : 7 \Rightarrow a : b : c =$$
$$\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 5 : 7 \Rightarrow a : b : c =?$$
now we have from above eq $$a:\frac{1}{3},b:\frac{1}{5},c:\frac{1}{7}$$
let take LCM of 3,5 and 7 we get lcm=105
now we have $$a:b:c:=\frac{1}{3}times105:\frac{1}{5}times105:\frac{1}{7}times105$$
after solving we get
$$a:b:c:=35:21:15$$ answer
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