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Finding the Third Proportional to 58,472 and 126,398

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Solution

The third proportional to 58,472 and 126,398 is: 273,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,472 : 126,398 = 126,398 : x
  2. Step 2: Convert to fraction form
    58,472/126,398 = 126,398/x
  3. Step 3: Cross multiply
    58,472x = 126,398 × 126,398
  4. Step 4: Simplify right side
    58,472x = 15,976,454,404
  5. Step 5: Solve for x
    x = 15,976,454,404/58,472
  6. Step 6: Final answer
    x = 273,232.56

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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.