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Finding the Third Proportional to 50,769.75 and 111,383.25

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Solution

The third proportional to 50,769.75 and 111,383.25 is: 244,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769.75 : 111,383.25 = 111,383.25 : x
  2. Step 2: Convert to fraction form
    50,769.75/111,383.25 = 111,383.25/x
  3. Step 3: Cross multiply
    50,769.75x = 111,383.25 × 111,383.25
  4. Step 4: Simplify right side
    50,769.75x = 12,406,228,380.56
  5. Step 5: Solve for x
    x = 12,406,228,380.56/50,769.75
  6. Step 6: Final answer
    x = 244,362.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.