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Finding the Third Proportional to 54,150.75 and 80,777.25

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Solution

The third proportional to 54,150.75 and 80,777.25 is: 120,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,150.75 : 80,777.25 = 80,777.25 : x
  2. Step 2: Convert to fraction form
    54,150.75/80,777.25 = 80,777.25/x
  3. Step 3: Cross multiply
    54,150.75x = 80,777.25 × 80,777.25
  4. Step 4: Simplify right side
    54,150.75x = 6,524,964,117.56
  5. Step 5: Solve for x
    x = 6,524,964,117.56/54,150.75
  6. Step 6: Final answer
    x = 120,496.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.