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Finding the Third Proportional to 54,464 and 117,975

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Solution

The third proportional to 54,464 and 117,975 is: 255,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,464 : 117,975 = 117,975 : x
  2. Step 2: Convert to fraction form
    54,464/117,975 = 117,975/x
  3. Step 3: Cross multiply
    54,464x = 117,975 × 117,975
  4. Step 4: Simplify right side
    54,464x = 13,918,100,625
  5. Step 5: Solve for x
    x = 13,918,100,625/54,464
  6. Step 6: Final answer
    x = 255,546.79

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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.