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Finding the Third Proportional to 41,509 and 91,741

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Solution

The third proportional to 41,509 and 91,741 is: 202,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509 : 91,741 = 91,741 : x
  2. Step 2: Convert to fraction form
    41,509/91,741 = 91,741/x
  3. Step 3: Cross multiply
    41,509x = 91,741 × 91,741
  4. Step 4: Simplify right side
    41,509x = 8,416,411,081
  5. Step 5: Solve for x
    x = 8,416,411,081/41,509
  6. Step 6: Final answer
    x = 202,761.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.