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Finding the Third Proportional to 81,452.25 and 185,604.75

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Solution

The third proportional to 81,452.25 and 185,604.75 is: 422,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452.25 : 185,604.75 = 185,604.75 : x
  2. Step 2: Convert to fraction form
    81,452.25/185,604.75 = 185,604.75/x
  3. Step 3: Cross multiply
    81,452.25x = 185,604.75 × 185,604.75
  4. Step 4: Simplify right side
    81,452.25x = 34,449,123,222.56
  5. Step 5: Solve for x
    x = 34,449,123,222.56/81,452.25
  6. Step 6: Final answer
    x = 422,936.42

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.