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Finding the Third Proportional to 25,876 and 55,144

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Solution

The third proportional to 25,876 and 55,144 is: 117,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876 : 55,144 = 55,144 : x
  2. Step 2: Convert to fraction form
    25,876/55,144 = 55,144/x
  3. Step 3: Cross multiply
    25,876x = 55,144 × 55,144
  4. Step 4: Simplify right side
    25,876x = 3,040,860,736
  5. Step 5: Solve for x
    x = 3,040,860,736/25,876
  6. Step 6: Final answer
    x = 117,516.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.