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Finding the Third Proportional to 87,940 and 195,568

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Solution

The third proportional to 87,940 and 195,568 is: 434,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,940 : 195,568 = 195,568 : x
  2. Step 2: Convert to fraction form
    87,940/195,568 = 195,568/x
  3. Step 3: Cross multiply
    87,940x = 195,568 × 195,568
  4. Step 4: Simplify right side
    87,940x = 38,246,842,624
  5. Step 5: Solve for x
    x = 38,246,842,624/87,940
  6. Step 6: Final answer
    x = 434,919.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.