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Finding the Third Proportional to 57,524.63 and 125,508.38

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Solution

The third proportional to 57,524.63 and 125,508.38 is: 273,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,524.63 : 125,508.38 = 125,508.38 : x
  2. Step 2: Convert to fraction form
    57,524.63/125,508.38 = 125,508.38/x
  3. Step 3: Cross multiply
    57,524.63x = 125,508.38 × 125,508.38
  4. Step 4: Simplify right side
    57,524.63x = 15,752,352,195.14
  5. Step 5: Solve for x
    x = 15,752,352,195.14/57,524.63
  6. Step 6: Final answer
    x = 273,836.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.