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Finding the Third Proportional to 87,704 and 132,664

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Solution

The third proportional to 87,704 and 132,664 is: 200,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,704 : 132,664 = 132,664 : x
  2. Step 2: Convert to fraction form
    87,704/132,664 = 132,664/x
  3. Step 3: Cross multiply
    87,704x = 132,664 × 132,664
  4. Step 4: Simplify right side
    87,704x = 17,599,736,896
  5. Step 5: Solve for x
    x = 17,599,736,896/87,704
  6. Step 6: Final answer
    x = 200,672.00

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Why These Related Problems?

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