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Finding the Third Proportional to 87,376 and 133,611

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Solution

The third proportional to 87,376 and 133,611 is: 204,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,376 : 133,611 = 133,611 : x
  2. Step 2: Convert to fraction form
    87,376/133,611 = 133,611/x
  3. Step 3: Cross multiply
    87,376x = 133,611 × 133,611
  4. Step 4: Simplify right side
    87,376x = 17,851,899,321
  5. Step 5: Solve for x
    x = 17,851,899,321/87,376
  6. Step 6: Final answer
    x = 204,311.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.