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Finding the Third Proportional to 43,817 and 95,741

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Solution

The third proportional to 43,817 and 95,741 is: 209,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817 : 95,741 = 95,741 : x
  2. Step 2: Convert to fraction form
    43,817/95,741 = 95,741/x
  3. Step 3: Cross multiply
    43,817x = 95,741 × 95,741
  4. Step 4: Simplify right side
    43,817x = 9,166,339,081
  5. Step 5: Solve for x
    x = 9,166,339,081/43,817
  6. Step 6: Final answer
    x = 209,195.95

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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.