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Finding the Third Proportional to 41,238 and 91,920

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Solution

The third proportional to 41,238 and 91,920 is: 204,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,238 : 91,920 = 91,920 : x
  2. Step 2: Convert to fraction form
    41,238/91,920 = 91,920/x
  3. Step 3: Cross multiply
    41,238x = 91,920 × 91,920
  4. Step 4: Simplify right side
    41,238x = 8,449,286,400
  5. Step 5: Solve for x
    x = 8,449,286,400/41,238
  6. Step 6: Final answer
    x = 204,890.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.