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Finding the Third Proportional to 55,514 and 122,092

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Solution

The third proportional to 55,514 and 122,092 is: 268,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514 : 122,092 = 122,092 : x
  2. Step 2: Convert to fraction form
    55,514/122,092 = 122,092/x
  3. Step 3: Cross multiply
    55,514x = 122,092 × 122,092
  4. Step 4: Simplify right side
    55,514x = 14,906,456,464
  5. Step 5: Solve for x
    x = 14,906,456,464/55,514
  6. Step 6: Final answer
    x = 268,517.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.