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Finding the Third Proportional to 87,934 and 193,790

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Solution

The third proportional to 87,934 and 193,790 is: 427,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,934 : 193,790 = 193,790 : x
  2. Step 2: Convert to fraction form
    87,934/193,790 = 193,790/x
  3. Step 3: Cross multiply
    87,934x = 193,790 × 193,790
  4. Step 4: Simplify right side
    87,934x = 37,554,564,100
  5. Step 5: Solve for x
    x = 37,554,564,100/87,934
  6. Step 6: Final answer
    x = 427,076.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.