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Finding the Third Proportional to 87,992 and 132,413

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Solution

The third proportional to 87,992 and 132,413 is: 199,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,992 : 132,413 = 132,413 : x
  2. Step 2: Convert to fraction form
    87,992/132,413 = 132,413/x
  3. Step 3: Cross multiply
    87,992x = 132,413 × 132,413
  4. Step 4: Simplify right side
    87,992x = 17,533,202,569
  5. Step 5: Solve for x
    x = 17,533,202,569/87,992
  6. Step 6: Final answer
    x = 199,259.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.