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Finding the Third Proportional to 57,269 and 125,830

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Solution

The third proportional to 57,269 and 125,830 is: 276,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,269 : 125,830 = 125,830 : x
  2. Step 2: Convert to fraction form
    57,269/125,830 = 125,830/x
  3. Step 3: Cross multiply
    57,269x = 125,830 × 125,830
  4. Step 4: Simplify right side
    57,269x = 15,833,188,900
  5. Step 5: Solve for x
    x = 15,833,188,900/57,269
  6. Step 6: Final answer
    x = 276,470.50

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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.