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Finding the Third Proportional to 57,243.38 and 116,039.25

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Solution

The third proportional to 57,243.38 and 116,039.25 is: 235,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.38 : 116,039.25 = 116,039.25 : x
  2. Step 2: Convert to fraction form
    57,243.38/116,039.25 = 116,039.25/x
  3. Step 3: Cross multiply
    57,243.38x = 116,039.25 × 116,039.25
  4. Step 4: Simplify right side
    57,243.38x = 13,465,107,540.56
  5. Step 5: Solve for x
    x = 13,465,107,540.56/57,243.38
  6. Step 6: Final answer
    x = 235,225.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.