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Finding the Third Proportional to 120,832 and 185,439

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Solution

The third proportional to 120,832 and 185,439 is: 284,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832 : 185,439 = 185,439 : x
  2. Step 2: Convert to fraction form
    120,832/185,439 = 185,439/x
  3. Step 3: Cross multiply
    120,832x = 185,439 × 185,439
  4. Step 4: Simplify right side
    120,832x = 34,387,622,721
  5. Step 5: Solve for x
    x = 34,387,622,721/120,832
  6. Step 6: Final answer
    x = 284,590.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.