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Finding the Third Proportional to 87,996 and 132,746

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Solution

The third proportional to 87,996 and 132,746 is: 200,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,996 : 132,746 = 132,746 : x
  2. Step 2: Convert to fraction form
    87,996/132,746 = 132,746/x
  3. Step 3: Cross multiply
    87,996x = 132,746 × 132,746
  4. Step 4: Simplify right side
    87,996x = 17,621,500,516
  5. Step 5: Solve for x
    x = 17,621,500,516/87,996
  6. Step 6: Final answer
    x = 200,253.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.