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Finding the Third Proportional to 60,296 and 122,233

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Solution

The third proportional to 60,296 and 122,233 is: 247,792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,296 : 122,233 = 122,233 : x
  2. Step 2: Convert to fraction form
    60,296/122,233 = 122,233/x
  3. Step 3: Cross multiply
    60,296x = 122,233 × 122,233
  4. Step 4: Simplify right side
    60,296x = 14,940,906,289
  5. Step 5: Solve for x
    x = 14,940,906,289/60,296
  6. Step 6: Final answer
    x = 247,792.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.