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Finding the Third Proportional to 87,836 and 132,357

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Solution

The third proportional to 87,836 and 132,357 is: 199,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,836 : 132,357 = 132,357 : x
  2. Step 2: Convert to fraction form
    87,836/132,357 = 132,357/x
  3. Step 3: Cross multiply
    87,836x = 132,357 × 132,357
  4. Step 4: Simplify right side
    87,836x = 17,518,375,449
  5. Step 5: Solve for x
    x = 17,518,375,449/87,836
  6. Step 6: Final answer
    x = 199,444.14

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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.