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Finding the Third Proportional to 54,183.50 and 115,878

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Solution

The third proportional to 54,183.50 and 115,878 is: 247,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,183.50 : 115,878 = 115,878 : x
  2. Step 2: Convert to fraction form
    54,183.50/115,878 = 115,878/x
  3. Step 3: Cross multiply
    54,183.50x = 115,878 × 115,878
  4. Step 4: Simplify right side
    54,183.50x = 13,427,710,884
  5. Step 5: Solve for x
    x = 13,427,710,884/54,183.50
  6. Step 6: Final answer
    x = 247,819.19

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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.