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Finding the Third Proportional to 41,068 and 95,974

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Solution

The third proportional to 41,068 and 95,974 is: 224,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,068 : 95,974 = 95,974 : x
  2. Step 2: Convert to fraction form
    41,068/95,974 = 95,974/x
  3. Step 3: Cross multiply
    41,068x = 95,974 × 95,974
  4. Step 4: Simplify right side
    41,068x = 9,211,008,676
  5. Step 5: Solve for x
    x = 9,211,008,676/41,068
  6. Step 6: Final answer
    x = 224,286.76

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.