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Finding the Third Proportional to 40,204 and 84,812

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Solution

The third proportional to 40,204 and 84,812 is: 178,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,204 : 84,812 = 84,812 : x
  2. Step 2: Convert to fraction form
    40,204/84,812 = 84,812/x
  3. Step 3: Cross multiply
    40,204x = 84,812 × 84,812
  4. Step 4: Simplify right side
    40,204x = 7,193,075,344
  5. Step 5: Solve for x
    x = 7,193,075,344/40,204
  6. Step 6: Final answer
    x = 178,914.42

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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.