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Finding the Third Proportional to 53,474 and 115,876

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Solution

The third proportional to 53,474 and 115,876 is: 251,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474 : 115,876 = 115,876 : x
  2. Step 2: Convert to fraction form
    53,474/115,876 = 115,876/x
  3. Step 3: Cross multiply
    53,474x = 115,876 × 115,876
  4. Step 4: Simplify right side
    53,474x = 13,427,247,376
  5. Step 5: Solve for x
    x = 13,427,247,376/53,474
  6. Step 6: Final answer
    x = 251,098.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.