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Finding the Third Proportional to 87,621 and 132,017

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Solution

The third proportional to 87,621 and 132,017 is: 198,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,621 : 132,017 = 132,017 : x
  2. Step 2: Convert to fraction form
    87,621/132,017 = 132,017/x
  3. Step 3: Cross multiply
    87,621x = 132,017 × 132,017
  4. Step 4: Simplify right side
    87,621x = 17,428,488,289
  5. Step 5: Solve for x
    x = 17,428,488,289/87,621
  6. Step 6: Final answer
    x = 198,907.66

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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.