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Finding the Third Proportional to 108,837 and 168,180

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Solution

The third proportional to 108,837 and 168,180 is: 259,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,837 : 168,180 = 168,180 : x
  2. Step 2: Convert to fraction form
    108,837/168,180 = 168,180/x
  3. Step 3: Cross multiply
    108,837x = 168,180 × 168,180
  4. Step 4: Simplify right side
    108,837x = 28,284,512,400
  5. Step 5: Solve for x
    x = 28,284,512,400/108,837
  6. Step 6: Final answer
    x = 259,879.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.