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Finding the Third Proportional to 87,838.50 and 131,517

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Solution

The third proportional to 87,838.50 and 131,517 is: 196,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,838.50 : 131,517 = 131,517 : x
  2. Step 2: Convert to fraction form
    87,838.50/131,517 = 131,517/x
  3. Step 3: Cross multiply
    87,838.50x = 131,517 × 131,517
  4. Step 4: Simplify right side
    87,838.50x = 17,296,721,289
  5. Step 5: Solve for x
    x = 17,296,721,289/87,838.50
  6. Step 6: Final answer
    x = 196,915.03

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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.