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Finding the Third Proportional to 81,611.44 and 179,772.75

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Solution

The third proportional to 81,611.44 and 179,772.75 is: 396,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,611.44 : 179,772.75 = 179,772.75 : x
  2. Step 2: Convert to fraction form
    81,611.44/179,772.75 = 179,772.75/x
  3. Step 3: Cross multiply
    81,611.44x = 179,772.75 × 179,772.75
  4. Step 4: Simplify right side
    81,611.44x = 32,318,241,642.56
  5. Step 5: Solve for x
    x = 32,318,241,642.56/81,611.44
  6. Step 6: Final answer
    x = 396,001.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.