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Finding the Third Proportional to 57,522.38 and 125,503.88

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Solution

The third proportional to 57,522.38 and 125,503.88 is: 273,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,522.38 : 125,503.88 = 125,503.88 : x
  2. Step 2: Convert to fraction form
    57,522.38/125,503.88 = 125,503.88/x
  3. Step 3: Cross multiply
    57,522.38x = 125,503.88 × 125,503.88
  4. Step 4: Simplify right side
    57,522.38x = 15,751,222,640.02
  5. Step 5: Solve for x
    x = 15,751,222,640.02/57,522.38
  6. Step 6: Final answer
    x = 273,827.75

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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.