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Finding the Third Proportional to 43,858 and 95,105

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Solution

The third proportional to 43,858 and 95,105 is: 206,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,858 : 95,105 = 95,105 : x
  2. Step 2: Convert to fraction form
    43,858/95,105 = 95,105/x
  3. Step 3: Cross multiply
    43,858x = 95,105 × 95,105
  4. Step 4: Simplify right side
    43,858x = 9,044,961,025
  5. Step 5: Solve for x
    x = 9,044,961,025/43,858
  6. Step 6: Final answer
    x = 206,232.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.