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Finding the Third Proportional to 96,650 and 140,593

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Solution

The third proportional to 96,650 and 140,593 is: 204,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,650 : 140,593 = 140,593 : x
  2. Step 2: Convert to fraction form
    96,650/140,593 = 140,593/x
  3. Step 3: Cross multiply
    96,650x = 140,593 × 140,593
  4. Step 4: Simplify right side
    96,650x = 19,766,391,649
  5. Step 5: Solve for x
    x = 19,766,391,649/96,650
  6. Step 6: Final answer
    x = 204,515.17

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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.