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Finding the Third Proportional to 51,732.38 and 113,400.75

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Solution

The third proportional to 51,732.38 and 113,400.75 is: 248,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732.38 : 113,400.75 = 113,400.75 : x
  2. Step 2: Convert to fraction form
    51,732.38/113,400.75 = 113,400.75/x
  3. Step 3: Cross multiply
    51,732.38x = 113,400.75 × 113,400.75
  4. Step 4: Simplify right side
    51,732.38x = 12,859,730,100.56
  5. Step 5: Solve for x
    x = 12,859,730,100.56/51,732.38
  6. Step 6: Final answer
    x = 248,581.86

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Why These Related Problems?

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