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Finding the Third Proportional to 114,067.69 and 165,219.75

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Solution

The third proportional to 114,067.69 and 165,219.75 is: 239,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,067.69 : 165,219.75 = 165,219.75 : x
  2. Step 2: Convert to fraction form
    114,067.69/165,219.75 = 165,219.75/x
  3. Step 3: Cross multiply
    114,067.69x = 165,219.75 × 165,219.75
  4. Step 4: Simplify right side
    114,067.69x = 27,297,565,790.06
  5. Step 5: Solve for x
    x = 27,297,565,790.06/114,067.69
  6. Step 6: Final answer
    x = 239,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.