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Finding the Third Proportional to 57,297.38 and 127,716.75

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Solution

The third proportional to 57,297.38 and 127,716.75 is: 284,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.38 : 127,716.75 = 127,716.75 : x
  2. Step 2: Convert to fraction form
    57,297.38/127,716.75 = 127,716.75/x
  3. Step 3: Cross multiply
    57,297.38x = 127,716.75 × 127,716.75
  4. Step 4: Simplify right side
    57,297.38x = 16,311,568,230.56
  5. Step 5: Solve for x
    x = 16,311,568,230.56/57,297.38
  6. Step 6: Final answer
    x = 284,682.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.