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Finding the Third Proportional to 124,773.75 and 268,224.75

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Solution

The third proportional to 124,773.75 and 268,224.75 is: 576,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,773.75 : 268,224.75 = 268,224.75 : x
  2. Step 2: Convert to fraction form
    124,773.75/268,224.75 = 268,224.75/x
  3. Step 3: Cross multiply
    124,773.75x = 268,224.75 × 268,224.75
  4. Step 4: Simplify right side
    124,773.75x = 71,944,516,512.56
  5. Step 5: Solve for x
    x = 71,944,516,512.56/124,773.75
  6. Step 6: Final answer
    x = 576,599.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.