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Finding the Third Proportional to 41,241 and 91,926

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Solution

The third proportional to 41,241 and 91,926 is: 204,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,241 : 91,926 = 91,926 : x
  2. Step 2: Convert to fraction form
    41,241/91,926 = 91,926/x
  3. Step 3: Cross multiply
    41,241x = 91,926 × 91,926
  4. Step 4: Simplify right side
    41,241x = 8,450,389,476
  5. Step 5: Solve for x
    x = 8,450,389,476/41,241
  6. Step 6: Final answer
    x = 204,902.63

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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.