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Finding the Third Proportional to 57,532.50 and 125,524.13

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Solution

The third proportional to 57,532.50 and 125,524.13 is: 273,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,532.50 : 125,524.13 = 125,524.13 : x
  2. Step 2: Convert to fraction form
    57,532.50/125,524.13 = 125,524.13/x
  3. Step 3: Cross multiply
    57,532.50x = 125,524.13 × 125,524.13
  4. Step 4: Simplify right side
    57,532.50x = 15,756,305,957.02
  5. Step 5: Solve for x
    x = 15,756,305,957.02/57,532.50
  6. Step 6: Final answer
    x = 273,867.92

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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.