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Finding the Third Proportional to 60,406 and 132,892

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Solution

The third proportional to 60,406 and 132,892 is: 292,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,406 : 132,892 = 132,892 : x
  2. Step 2: Convert to fraction form
    60,406/132,892 = 132,892/x
  3. Step 3: Cross multiply
    60,406x = 132,892 × 132,892
  4. Step 4: Simplify right side
    60,406x = 17,660,283,664
  5. Step 5: Solve for x
    x = 17,660,283,664/60,406
  6. Step 6: Final answer
    x = 292,359.76

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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.