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Finding the Third Proportional to 40,204 and 84,868

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Solution

The third proportional to 40,204 and 84,868 is: 179,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,204 : 84,868 = 84,868 : x
  2. Step 2: Convert to fraction form
    40,204/84,868 = 84,868/x
  3. Step 3: Cross multiply
    40,204x = 84,868 × 84,868
  4. Step 4: Simplify right side
    40,204x = 7,202,577,424
  5. Step 5: Solve for x
    x = 7,202,577,424/40,204
  6. Step 6: Final answer
    x = 179,150.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.