Finding the Third Proportional to 97,412.63 and 145,729.13
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Solution
The third proportional to 97,412.63 and 145,729.13 is: 218,010.53
Step by Step Solution
- Step 1: Write the proportion equation
97,412.63 : 145,729.13 = 145,729.13 : x - Step 2: Convert to fraction form
97,412.63/145,729.13 = 145,729.13/x - Step 3: Cross multiply
97,412.63x = 145,729.13 × 145,729.13 - Step 4: Simplify right side
97,412.63x = 21,236,977,873.27 - Step 5: Solve for x
x = 21,236,977,873.27/97,412.63 - Step 6: Final answer
x = 218,010.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.