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Finding the Third Proportional to 87,617 and 132,011

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Solution

The third proportional to 87,617 and 132,011 is: 198,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,617 : 132,011 = 132,011 : x
  2. Step 2: Convert to fraction form
    87,617/132,011 = 132,011/x
  3. Step 3: Cross multiply
    87,617x = 132,011 × 132,011
  4. Step 4: Simplify right side
    87,617x = 17,426,904,121
  5. Step 5: Solve for x
    x = 17,426,904,121/87,617
  6. Step 6: Final answer
    x = 198,898.66

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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.