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Finding the Third Proportional to 49,143.38 and 75,147.75

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Solution

The third proportional to 49,143.38 and 75,147.75 is: 114,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143.38 : 75,147.75 = 75,147.75 : x
  2. Step 2: Convert to fraction form
    49,143.38/75,147.75 = 75,147.75/x
  3. Step 3: Cross multiply
    49,143.38x = 75,147.75 × 75,147.75
  4. Step 4: Simplify right side
    49,143.38x = 5,647,184,330.06
  5. Step 5: Solve for x
    x = 5,647,184,330.06/49,143.38
  6. Step 6: Final answer
    x = 114,912.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.