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Finding the Third Proportional to 43,990 and 103,741

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Solution

The third proportional to 43,990 and 103,741 is: 244,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,990 : 103,741 = 103,741 : x
  2. Step 2: Convert to fraction form
    43,990/103,741 = 103,741/x
  3. Step 3: Cross multiply
    43,990x = 103,741 × 103,741
  4. Step 4: Simplify right side
    43,990x = 10,762,195,081
  5. Step 5: Solve for x
    x = 10,762,195,081/43,990
  6. Step 6: Final answer
    x = 244,650.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.