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Finding the Third Proportional to 57,559.36 and 125,572.78

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Solution

The third proportional to 57,559.36 and 125,572.78 is: 273,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,559.36 : 125,572.78 = 125,572.78 : x
  2. Step 2: Convert to fraction form
    57,559.36/125,572.78 = 125,572.78/x
  3. Step 3: Cross multiply
    57,559.36x = 125,572.78 × 125,572.78
  4. Step 4: Simplify right side
    57,559.36x = 15,768,523,390.86
  5. Step 5: Solve for x
    x = 15,768,523,390.86/57,559.36
  6. Step 6: Final answer
    x = 273,952.38

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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.