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Finding the Third Proportional to 56,667 and 124,233

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Solution

The third proportional to 56,667 and 124,233 is: 272,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,667 : 124,233 = 124,233 : x
  2. Step 2: Convert to fraction form
    56,667/124,233 = 124,233/x
  3. Step 3: Cross multiply
    56,667x = 124,233 × 124,233
  4. Step 4: Simplify right side
    56,667x = 15,433,838,289
  5. Step 5: Solve for x
    x = 15,433,838,289/56,667
  6. Step 6: Final answer
    x = 272,360.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.