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Finding the Third Proportional to 86,469 and 132,327

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Solution

The third proportional to 86,469 and 132,327 is: 202,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,469 : 132,327 = 132,327 : x
  2. Step 2: Convert to fraction form
    86,469/132,327 = 132,327/x
  3. Step 3: Cross multiply
    86,469x = 132,327 × 132,327
  4. Step 4: Simplify right side
    86,469x = 17,510,434,929
  5. Step 5: Solve for x
    x = 17,510,434,929/86,469
  6. Step 6: Final answer
    x = 202,505.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.