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Finding the Third Proportional to 41,243 and 91,930

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Solution

The third proportional to 41,243 and 91,930 is: 204,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,243 : 91,930 = 91,930 : x
  2. Step 2: Convert to fraction form
    41,243/91,930 = 91,930/x
  3. Step 3: Cross multiply
    41,243x = 91,930 × 91,930
  4. Step 4: Simplify right side
    41,243x = 8,451,124,900
  5. Step 5: Solve for x
    x = 8,451,124,900/41,243
  6. Step 6: Final answer
    x = 204,910.53

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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.