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Finding the Third Proportional to 41,296 and 87,920

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Solution

The third proportional to 41,296 and 87,920 is: 187,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,296 : 87,920 = 87,920 : x
  2. Step 2: Convert to fraction form
    41,296/87,920 = 87,920/x
  3. Step 3: Cross multiply
    41,296x = 87,920 × 87,920
  4. Step 4: Simplify right side
    41,296x = 7,729,926,400
  5. Step 5: Solve for x
    x = 7,729,926,400/41,296
  6. Step 6: Final answer
    x = 187,183.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.