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Finding the Third Proportional to 87,682 and 191,764

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Solution

The third proportional to 87,682 and 191,764 is: 419,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,682 : 191,764 = 191,764 : x
  2. Step 2: Convert to fraction form
    87,682/191,764 = 191,764/x
  3. Step 3: Cross multiply
    87,682x = 191,764 × 191,764
  4. Step 4: Simplify right side
    87,682x = 36,773,431,696
  5. Step 5: Solve for x
    x = 36,773,431,696/87,682
  6. Step 6: Final answer
    x = 419,395.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.