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Finding the Third Proportional to 87,520 and 191,984

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Solution

The third proportional to 87,520 and 191,984 is: 421,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,520 : 191,984 = 191,984 : x
  2. Step 2: Convert to fraction form
    87,520/191,984 = 191,984/x
  3. Step 3: Cross multiply
    87,520x = 191,984 × 191,984
  4. Step 4: Simplify right side
    87,520x = 36,857,856,256
  5. Step 5: Solve for x
    x = 36,857,856,256/87,520
  6. Step 6: Final answer
    x = 421,136.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.