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Finding the Third Proportional to 87,734 and 131,015

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Solution

The third proportional to 87,734 and 131,015 is: 195,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,734 : 131,015 = 131,015 : x
  2. Step 2: Convert to fraction form
    87,734/131,015 = 131,015/x
  3. Step 3: Cross multiply
    87,734x = 131,015 × 131,015
  4. Step 4: Simplify right side
    87,734x = 17,164,930,225
  5. Step 5: Solve for x
    x = 17,164,930,225/87,734
  6. Step 6: Final answer
    x = 195,647.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.