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Finding the Third Proportional to 87,228 and 191,136

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Solution

The third proportional to 87,228 and 191,136 is: 418,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,228 : 191,136 = 191,136 : x
  2. Step 2: Convert to fraction form
    87,228/191,136 = 191,136/x
  3. Step 3: Cross multiply
    87,228x = 191,136 × 191,136
  4. Step 4: Simplify right side
    87,228x = 36,532,970,496
  5. Step 5: Solve for x
    x = 36,532,970,496/87,228
  6. Step 6: Final answer
    x = 418,821.60

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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.