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Finding the Third Proportional to 112,934 and 165,162

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Solution

The third proportional to 112,934 and 165,162 is: 241,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,934 : 165,162 = 165,162 : x
  2. Step 2: Convert to fraction form
    112,934/165,162 = 165,162/x
  3. Step 3: Cross multiply
    112,934x = 165,162 × 165,162
  4. Step 4: Simplify right side
    112,934x = 27,278,486,244
  5. Step 5: Solve for x
    x = 27,278,486,244/112,934
  6. Step 6: Final answer
    x = 241,543.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.