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Finding the Third Proportional to 41,522 and 91,108

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Solution

The third proportional to 41,522 and 91,108 is: 199,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,522 : 91,108 = 91,108 : x
  2. Step 2: Convert to fraction form
    41,522/91,108 = 91,108/x
  3. Step 3: Cross multiply
    41,522x = 91,108 × 91,108
  4. Step 4: Simplify right side
    41,522x = 8,300,667,664
  5. Step 5: Solve for x
    x = 8,300,667,664/41,522
  6. Step 6: Final answer
    x = 199,910.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.