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Finding the Third Proportional to 124,857 and 269,667

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Solution

The third proportional to 124,857 and 269,667 is: 582,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,857 : 269,667 = 269,667 : x
  2. Step 2: Convert to fraction form
    124,857/269,667 = 269,667/x
  3. Step 3: Cross multiply
    124,857x = 269,667 × 269,667
  4. Step 4: Simplify right side
    124,857x = 72,720,290,889
  5. Step 5: Solve for x
    x = 72,720,290,889/124,857
  6. Step 6: Final answer
    x = 582,428.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.