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Finding the Third Proportional to 87,760 and 193,008

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Solution

The third proportional to 87,760 and 193,008 is: 424,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,760 : 193,008 = 193,008 : x
  2. Step 2: Convert to fraction form
    87,760/193,008 = 193,008/x
  3. Step 3: Cross multiply
    87,760x = 193,008 × 193,008
  4. Step 4: Simplify right side
    87,760x = 37,252,088,064
  5. Step 5: Solve for x
    x = 37,252,088,064/87,760
  6. Step 6: Final answer
    x = 424,476.85

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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.