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Finding the Third Proportional to 83,469 and 127,967

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Solution

The third proportional to 83,469 and 127,967 is: 196,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469 : 127,967 = 127,967 : x
  2. Step 2: Convert to fraction form
    83,469/127,967 = 127,967/x
  3. Step 3: Cross multiply
    83,469x = 127,967 × 127,967
  4. Step 4: Simplify right side
    83,469x = 16,375,553,089
  5. Step 5: Solve for x
    x = 16,375,553,089/83,469
  6. Step 6: Final answer
    x = 196,187.24

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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.