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Finding the Third Proportional to 78,801 and 168,675

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Solution

The third proportional to 78,801 and 168,675 is: 361,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,801 : 168,675 = 168,675 : x
  2. Step 2: Convert to fraction form
    78,801/168,675 = 168,675/x
  3. Step 3: Cross multiply
    78,801x = 168,675 × 168,675
  4. Step 4: Simplify right side
    78,801x = 28,451,255,625
  5. Step 5: Solve for x
    x = 28,451,255,625/78,801
  6. Step 6: Final answer
    x = 361,051.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.