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Finding the Third Proportional to 57,925.75 and 126,923

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Solution

The third proportional to 57,925.75 and 126,923 is: 278,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,925.75 : 126,923 = 126,923 : x
  2. Step 2: Convert to fraction form
    57,925.75/126,923 = 126,923/x
  3. Step 3: Cross multiply
    57,925.75x = 126,923 × 126,923
  4. Step 4: Simplify right side
    57,925.75x = 16,109,447,929
  5. Step 5: Solve for x
    x = 16,109,447,929/57,925.75
  6. Step 6: Final answer
    x = 278,105.12

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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.