Finding the Third Proportional to 77,352 and 123,082
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Solution
The third proportional to 77,352 and 123,082 is: 195,847.28
Step by Step Solution
- Step 1: Write the proportion equation
77,352 : 123,082 = 123,082 : x - Step 2: Convert to fraction form
77,352/123,082 = 123,082/x - Step 3: Cross multiply
77,352x = 123,082 × 123,082 - Step 4: Simplify right side
77,352x = 15,149,178,724 - Step 5: Solve for x
x = 15,149,178,724/77,352 - Step 6: Final answer
x = 195,847.28
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.