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Finding the Third Proportional to 87,984 and 132,728

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Solution

The third proportional to 87,984 and 132,728 is: 200,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,984 : 132,728 = 132,728 : x
  2. Step 2: Convert to fraction form
    87,984/132,728 = 132,728/x
  3. Step 3: Cross multiply
    87,984x = 132,728 × 132,728
  4. Step 4: Simplify right side
    87,984x = 17,616,721,984
  5. Step 5: Solve for x
    x = 17,616,721,984/87,984
  6. Step 6: Final answer
    x = 200,226.43

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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.