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Finding the Third Proportional to 111,696 and 170,175

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Solution

The third proportional to 111,696 and 170,175 is: 259,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,696 : 170,175 = 170,175 : x
  2. Step 2: Convert to fraction form
    111,696/170,175 = 170,175/x
  3. Step 3: Cross multiply
    111,696x = 170,175 × 170,175
  4. Step 4: Simplify right side
    111,696x = 28,959,530,625
  5. Step 5: Solve for x
    x = 28,959,530,625/111,696
  6. Step 6: Final answer
    x = 259,270.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.