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Finding the Third Proportional to 27,248 and 60,876

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Solution

The third proportional to 27,248 and 60,876 is: 136,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248 : 60,876 = 60,876 : x
  2. Step 2: Convert to fraction form
    27,248/60,876 = 60,876/x
  3. Step 3: Cross multiply
    27,248x = 60,876 × 60,876
  4. Step 4: Simplify right side
    27,248x = 3,705,887,376
  5. Step 5: Solve for x
    x = 3,705,887,376/27,248
  6. Step 6: Final answer
    x = 136,005.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.