Finding the Third Proportional to 81,903 and 123,432
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Solution
The third proportional to 81,903 and 123,432 is: 186,018.32
Step by Step Solution
- Step 1: Write the proportion equation
81,903 : 123,432 = 123,432 : x - Step 2: Convert to fraction form
81,903/123,432 = 123,432/x - Step 3: Cross multiply
81,903x = 123,432 × 123,432 - Step 4: Simplify right side
81,903x = 15,235,458,624 - Step 5: Solve for x
x = 15,235,458,624/81,903 - Step 6: Final answer
x = 186,018.32
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.