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Finding the Third Proportional to 118,818 and 167,175

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Solution

The third proportional to 118,818 and 167,175 is: 235,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,818 : 167,175 = 167,175 : x
  2. Step 2: Convert to fraction form
    118,818/167,175 = 167,175/x
  3. Step 3: Cross multiply
    118,818x = 167,175 × 167,175
  4. Step 4: Simplify right side
    118,818x = 27,947,480,625
  5. Step 5: Solve for x
    x = 27,947,480,625/118,818
  6. Step 6: Final answer
    x = 235,212.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.