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Finding the Third Proportional to 54,758 and 117,694

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Solution

The third proportional to 54,758 and 117,694 is: 252,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758 : 117,694 = 117,694 : x
  2. Step 2: Convert to fraction form
    54,758/117,694 = 117,694/x
  3. Step 3: Cross multiply
    54,758x = 117,694 × 117,694
  4. Step 4: Simplify right side
    54,758x = 13,851,877,636
  5. Step 5: Solve for x
    x = 13,851,877,636/54,758
  6. Step 6: Final answer
    x = 252,965.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.