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Finding the Third Proportional to 87,500 and 131,223

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Solution

The third proportional to 87,500 and 131,223 is: 196,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,500 : 131,223 = 131,223 : x
  2. Step 2: Convert to fraction form
    87,500/131,223 = 131,223/x
  3. Step 3: Cross multiply
    87,500x = 131,223 × 131,223
  4. Step 4: Simplify right side
    87,500x = 17,219,475,729
  5. Step 5: Solve for x
    x = 17,219,475,729/87,500
  6. Step 6: Final answer
    x = 196,794.01

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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.