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Finding the Third Proportional to 57,918 and 125,799

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Solution

The third proportional to 57,918 and 125,799 is: 273,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,918 : 125,799 = 125,799 : x
  2. Step 2: Convert to fraction form
    57,918/125,799 = 125,799/x
  3. Step 3: Cross multiply
    57,918x = 125,799 × 125,799
  4. Step 4: Simplify right side
    57,918x = 15,825,388,401
  5. Step 5: Solve for x
    x = 15,825,388,401/57,918
  6. Step 6: Final answer
    x = 273,237.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.