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Finding the Third Proportional to 84,134 and 181,384

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Solution

The third proportional to 84,134 and 181,384 is: 391,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134 : 181,384 = 181,384 : x
  2. Step 2: Convert to fraction form
    84,134/181,384 = 181,384/x
  3. Step 3: Cross multiply
    84,134x = 181,384 × 181,384
  4. Step 4: Simplify right side
    84,134x = 32,900,155,456
  5. Step 5: Solve for x
    x = 32,900,155,456/84,134
  6. Step 6: Final answer
    x = 391,044.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.