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Finding the Third Proportional to 41,223 and 91,374

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Solution

The third proportional to 41,223 and 91,374 is: 202,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,223 : 91,374 = 91,374 : x
  2. Step 2: Convert to fraction form
    41,223/91,374 = 91,374/x
  3. Step 3: Cross multiply
    41,223x = 91,374 × 91,374
  4. Step 4: Simplify right side
    41,223x = 8,349,207,876
  5. Step 5: Solve for x
    x = 8,349,207,876/41,223
  6. Step 6: Final answer
    x = 202,537.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.