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Finding the Third Proportional to 87,784 and 133,836

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Solution

The third proportional to 87,784 and 133,836 is: 204,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,784 : 133,836 = 133,836 : x
  2. Step 2: Convert to fraction form
    87,784/133,836 = 133,836/x
  3. Step 3: Cross multiply
    87,784x = 133,836 × 133,836
  4. Step 4: Simplify right side
    87,784x = 17,912,074,896
  5. Step 5: Solve for x
    x = 17,912,074,896/87,784
  6. Step 6: Final answer
    x = 204,047.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.