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Finding the Third Proportional to 108,684 and 167,250

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Solution

The third proportional to 108,684 and 167,250 is: 257,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,684 : 167,250 = 167,250 : x
  2. Step 2: Convert to fraction form
    108,684/167,250 = 167,250/x
  3. Step 3: Cross multiply
    108,684x = 167,250 × 167,250
  4. Step 4: Simplify right side
    108,684x = 27,972,562,500
  5. Step 5: Solve for x
    x = 27,972,562,500/108,684
  6. Step 6: Final answer
    x = 257,375.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.