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Finding the Third Proportional to 87,502 and 131,225

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Solution

The third proportional to 87,502 and 131,225 is: 196,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,502 : 131,225 = 131,225 : x
  2. Step 2: Convert to fraction form
    87,502/131,225 = 131,225/x
  3. Step 3: Cross multiply
    87,502x = 131,225 × 131,225
  4. Step 4: Simplify right side
    87,502x = 17,220,000,625
  5. Step 5: Solve for x
    x = 17,220,000,625/87,502
  6. Step 6: Final answer
    x = 196,795.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.