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Finding the Third Proportional to 72,231.75 and 169,067.25

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Solution

The third proportional to 72,231.75 and 169,067.25 is: 395,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,231.75 : 169,067.25 = 169,067.25 : x
  2. Step 2: Convert to fraction form
    72,231.75/169,067.25 = 169,067.25/x
  3. Step 3: Cross multiply
    72,231.75x = 169,067.25 × 169,067.25
  4. Step 4: Simplify right side
    72,231.75x = 28,583,735,022.56
  5. Step 5: Solve for x
    x = 28,583,735,022.56/72,231.75
  6. Step 6: Final answer
    x = 395,722.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.