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Finding the Third Proportional to 87,586 and 193,892

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Solution

The third proportional to 87,586 and 193,892 is: 429,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,586 : 193,892 = 193,892 : x
  2. Step 2: Convert to fraction form
    87,586/193,892 = 193,892/x
  3. Step 3: Cross multiply
    87,586x = 193,892 × 193,892
  4. Step 4: Simplify right side
    87,586x = 37,594,107,664
  5. Step 5: Solve for x
    x = 37,594,107,664/87,586
  6. Step 6: Final answer
    x = 429,225.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.