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Finding the Third Proportional to 54,116 and 115,876

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Solution

The third proportional to 54,116 and 115,876 is: 248,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116 : 115,876 = 115,876 : x
  2. Step 2: Convert to fraction form
    54,116/115,876 = 115,876/x
  3. Step 3: Cross multiply
    54,116x = 115,876 × 115,876
  4. Step 4: Simplify right side
    54,116x = 13,427,247,376
  5. Step 5: Solve for x
    x = 13,427,247,376/54,116
  6. Step 6: Final answer
    x = 248,119.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.