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Finding the Third Proportional to 80,240 and 173,872

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Solution

The third proportional to 80,240 and 173,872 is: 376,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,240 : 173,872 = 173,872 : x
  2. Step 2: Convert to fraction form
    80,240/173,872 = 173,872/x
  3. Step 3: Cross multiply
    80,240x = 173,872 × 173,872
  4. Step 4: Simplify right side
    80,240x = 30,231,472,384
  5. Step 5: Solve for x
    x = 30,231,472,384/80,240
  6. Step 6: Final answer
    x = 376,763.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.