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Finding the Third Proportional to 87,084 and 181,704

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Solution

The third proportional to 87,084 and 181,704 is: 379,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,084 : 181,704 = 181,704 : x
  2. Step 2: Convert to fraction form
    87,084/181,704 = 181,704/x
  3. Step 3: Cross multiply
    87,084x = 181,704 × 181,704
  4. Step 4: Simplify right side
    87,084x = 33,016,343,616
  5. Step 5: Solve for x
    x = 33,016,343,616/87,084
  6. Step 6: Final answer
    x = 379,132.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.