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Finding the Third Proportional to 75,197 and 165,163

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Solution

The third proportional to 75,197 and 165,163 is: 362,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,197 : 165,163 = 165,163 : x
  2. Step 2: Convert to fraction form
    75,197/165,163 = 165,163/x
  3. Step 3: Cross multiply
    75,197x = 165,163 × 165,163
  4. Step 4: Simplify right side
    75,197x = 27,278,816,569
  5. Step 5: Solve for x
    x = 27,278,816,569/75,197
  6. Step 6: Final answer
    x = 362,764.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.