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Finding the Third Proportional to 43,617 and 95,811

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Solution

The third proportional to 43,617 and 95,811 is: 210,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,617 : 95,811 = 95,811 : x
  2. Step 2: Convert to fraction form
    43,617/95,811 = 95,811/x
  3. Step 3: Cross multiply
    43,617x = 95,811 × 95,811
  4. Step 4: Simplify right side
    43,617x = 9,179,747,721
  5. Step 5: Solve for x
    x = 9,179,747,721/43,617
  6. Step 6: Final answer
    x = 210,462.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.