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Finding the Third Proportional to 125,993 and 274,126

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Solution

The third proportional to 125,993 and 274,126 is: 596,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,993 : 274,126 = 274,126 : x
  2. Step 2: Convert to fraction form
    125,993/274,126 = 274,126/x
  3. Step 3: Cross multiply
    125,993x = 274,126 × 274,126
  4. Step 4: Simplify right side
    125,993x = 75,145,063,876
  5. Step 5: Solve for x
    x = 75,145,063,876/125,993
  6. Step 6: Final answer
    x = 596,422.53

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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.