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Finding the Third Proportional to 87,982 and 195,596

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Solution

The third proportional to 87,982 and 195,596 is: 434,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,982 : 195,596 = 195,596 : x
  2. Step 2: Convert to fraction form
    87,982/195,596 = 195,596/x
  3. Step 3: Cross multiply
    87,982x = 195,596 × 195,596
  4. Step 4: Simplify right side
    87,982x = 38,257,795,216
  5. Step 5: Solve for x
    x = 38,257,795,216/87,982
  6. Step 6: Final answer
    x = 434,836.62

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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.