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Finding the Third Proportional to 74,912.75 and 160,942.75

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Solution

The third proportional to 74,912.75 and 160,942.75 is: 345,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,912.75 : 160,942.75 = 160,942.75 : x
  2. Step 2: Convert to fraction form
    74,912.75/160,942.75 = 160,942.75/x
  3. Step 3: Cross multiply
    74,912.75x = 160,942.75 × 160,942.75
  4. Step 4: Simplify right side
    74,912.75x = 25,902,568,777.56
  5. Step 5: Solve for x
    x = 25,902,568,777.56/74,912.75
  6. Step 6: Final answer
    x = 345,769.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.