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Finding the Third Proportional to 57,890 and 125,932

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Solution

The third proportional to 57,890 and 125,932 is: 273,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890 : 125,932 = 125,932 : x
  2. Step 2: Convert to fraction form
    57,890/125,932 = 125,932/x
  3. Step 3: Cross multiply
    57,890x = 125,932 × 125,932
  4. Step 4: Simplify right side
    57,890x = 15,858,868,624
  5. Step 5: Solve for x
    x = 15,858,868,624/57,890
  6. Step 6: Final answer
    x = 273,948.33

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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.