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Finding the Third Proportional to 96,007 and 127,398

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Solution

The third proportional to 96,007 and 127,398 is: 169,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,007 : 127,398 = 127,398 : x
  2. Step 2: Convert to fraction form
    96,007/127,398 = 127,398/x
  3. Step 3: Cross multiply
    96,007x = 127,398 × 127,398
  4. Step 4: Simplify right side
    96,007x = 16,230,250,404
  5. Step 5: Solve for x
    x = 16,230,250,404/96,007
  6. Step 6: Final answer
    x = 169,052.78

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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.