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Finding the Third Proportional to 58,842 and 129,561

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Solution

The third proportional to 58,842 and 129,561 is: 285,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842 : 129,561 = 129,561 : x
  2. Step 2: Convert to fraction form
    58,842/129,561 = 129,561/x
  3. Step 3: Cross multiply
    58,842x = 129,561 × 129,561
  4. Step 4: Simplify right side
    58,842x = 16,786,052,721
  5. Step 5: Solve for x
    x = 16,786,052,721/58,842
  6. Step 6: Final answer
    x = 285,273.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.