Finding the Third Proportional to 97,574 and 142,635
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Solution
The third proportional to 97,574 and 142,635 is: 208,505.78
Step by Step Solution
- Step 1: Write the proportion equation
97,574 : 142,635 = 142,635 : x - Step 2: Convert to fraction form
97,574/142,635 = 142,635/x - Step 3: Cross multiply
97,574x = 142,635 × 142,635 - Step 4: Simplify right side
97,574x = 20,344,743,225 - Step 5: Solve for x
x = 20,344,743,225/97,574 - Step 6: Final answer
x = 208,505.78
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.