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Finding the Third Proportional to 58,432 and 126,060

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Solution

The third proportional to 58,432 and 126,060 is: 271,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,432 : 126,060 = 126,060 : x
  2. Step 2: Convert to fraction form
    58,432/126,060 = 126,060/x
  3. Step 3: Cross multiply
    58,432x = 126,060 × 126,060
  4. Step 4: Simplify right side
    58,432x = 15,891,123,600
  5. Step 5: Solve for x
    x = 15,891,123,600/58,432
  6. Step 6: Final answer
    x = 271,959.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.