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Finding the Third Proportional to 96,347 and 127,839

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Solution

The third proportional to 96,347 and 127,839 is: 169,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,347 : 127,839 = 127,839 : x
  2. Step 2: Convert to fraction form
    96,347/127,839 = 127,839/x
  3. Step 3: Cross multiply
    96,347x = 127,839 × 127,839
  4. Step 4: Simplify right side
    96,347x = 16,342,809,921
  5. Step 5: Solve for x
    x = 16,342,809,921/96,347
  6. Step 6: Final answer
    x = 169,624.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.