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Finding the Third Proportional to 41,121 and 89,286.75

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Solution

The third proportional to 41,121 and 89,286.75 is: 193,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,121 : 89,286.75 = 89,286.75 : x
  2. Step 2: Convert to fraction form
    41,121/89,286.75 = 89,286.75/x
  3. Step 3: Cross multiply
    41,121x = 89,286.75 × 89,286.75
  4. Step 4: Simplify right side
    41,121x = 7,972,123,725.56
  5. Step 5: Solve for x
    x = 7,972,123,725.56/41,121
  6. Step 6: Final answer
    x = 193,869.89

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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.