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Finding the Third Proportional to 87,820 and 191,677

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Solution

The third proportional to 87,820 and 191,677 is: 418,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,820 : 191,677 = 191,677 : x
  2. Step 2: Convert to fraction form
    87,820/191,677 = 191,677/x
  3. Step 3: Cross multiply
    87,820x = 191,677 × 191,677
  4. Step 4: Simplify right side
    87,820x = 36,740,072,329
  5. Step 5: Solve for x
    x = 36,740,072,329/87,820
  6. Step 6: Final answer
    x = 418,356.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.