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Finding the Third Proportional to 54,469.69 and 117,987.75

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Solution

The third proportional to 54,469.69 and 117,987.75 is: 255,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,469.69 : 117,987.75 = 117,987.75 : x
  2. Step 2: Convert to fraction form
    54,469.69/117,987.75 = 117,987.75/x
  3. Step 3: Cross multiply
    54,469.69x = 117,987.75 × 117,987.75
  4. Step 4: Simplify right side
    54,469.69x = 13,921,109,150.06
  5. Step 5: Solve for x
    x = 13,921,109,150.06/54,469.69
  6. Step 6: Final answer
    x = 255,575.34

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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.