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Finding the Third Proportional to 41,828 and 91,950

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Solution

The third proportional to 41,828 and 91,950 is: 202,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,828 : 91,950 = 91,950 : x
  2. Step 2: Convert to fraction form
    41,828/91,950 = 91,950/x
  3. Step 3: Cross multiply
    41,828x = 91,950 × 91,950
  4. Step 4: Simplify right side
    41,828x = 8,454,802,500
  5. Step 5: Solve for x
    x = 8,454,802,500/41,828
  6. Step 6: Final answer
    x = 202,132.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.