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Finding the Third Proportional to 43,858 and 95,204

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Solution

The third proportional to 43,858 and 95,204 is: 206,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,858 : 95,204 = 95,204 : x
  2. Step 2: Convert to fraction form
    43,858/95,204 = 95,204/x
  3. Step 3: Cross multiply
    43,858x = 95,204 × 95,204
  4. Step 4: Simplify right side
    43,858x = 9,063,801,616
  5. Step 5: Solve for x
    x = 9,063,801,616/43,858
  6. Step 6: Final answer
    x = 206,662.45

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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.