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Finding the Third Proportional to 50,944.50 and 111,975

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Solution

The third proportional to 50,944.50 and 111,975 is: 246,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,944.50 : 111,975 = 111,975 : x
  2. Step 2: Convert to fraction form
    50,944.50/111,975 = 111,975/x
  3. Step 3: Cross multiply
    50,944.50x = 111,975 × 111,975
  4. Step 4: Simplify right side
    50,944.50x = 12,538,400,625
  5. Step 5: Solve for x
    x = 12,538,400,625/50,944.50
  6. Step 6: Final answer
    x = 246,118.83

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