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Finding the Third Proportional to 124,418 and 192,965

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Solution

The third proportional to 124,418 and 192,965 is: 299,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,418 : 192,965 = 192,965 : x
  2. Step 2: Convert to fraction form
    124,418/192,965 = 192,965/x
  3. Step 3: Cross multiply
    124,418x = 192,965 × 192,965
  4. Step 4: Simplify right side
    124,418x = 37,235,491,225
  5. Step 5: Solve for x
    x = 37,235,491,225/124,418
  6. Step 6: Final answer
    x = 299,277.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.