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Finding the Third Proportional to 96,654 and 140,599

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Solution

The third proportional to 96,654 and 140,599 is: 204,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,654 : 140,599 = 140,599 : x
  2. Step 2: Convert to fraction form
    96,654/140,599 = 140,599/x
  3. Step 3: Cross multiply
    96,654x = 140,599 × 140,599
  4. Step 4: Simplify right side
    96,654x = 19,768,078,801
  5. Step 5: Solve for x
    x = 19,768,078,801/96,654
  6. Step 6: Final answer
    x = 204,524.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.