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Finding the Third Proportional to 84,159 and 181,439

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Solution

The third proportional to 84,159 and 181,439 is: 391,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159 : 181,439 = 181,439 : x
  2. Step 2: Convert to fraction form
    84,159/181,439 = 181,439/x
  3. Step 3: Cross multiply
    84,159x = 181,439 × 181,439
  4. Step 4: Simplify right side
    84,159x = 32,920,110,721
  5. Step 5: Solve for x
    x = 32,920,110,721/84,159
  6. Step 6: Final answer
    x = 391,165.66

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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.