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Finding the Third Proportional to 57,274 and 125,757

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Solution

The third proportional to 57,274 and 125,757 is: 276,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,274 : 125,757 = 125,757 : x
  2. Step 2: Convert to fraction form
    57,274/125,757 = 125,757/x
  3. Step 3: Cross multiply
    57,274x = 125,757 × 125,757
  4. Step 4: Simplify right side
    57,274x = 15,814,823,049
  5. Step 5: Solve for x
    x = 15,814,823,049/57,274
  6. Step 6: Final answer
    x = 276,125.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.