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Finding the Third Proportional to 78,867 and 170,849

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Solution

The third proportional to 78,867 and 170,849 is: 370,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867 : 170,849 = 170,849 : x
  2. Step 2: Convert to fraction form
    78,867/170,849 = 170,849/x
  3. Step 3: Cross multiply
    78,867x = 170,849 × 170,849
  4. Step 4: Simplify right side
    78,867x = 29,189,380,801
  5. Step 5: Solve for x
    x = 29,189,380,801/78,867
  6. Step 6: Final answer
    x = 370,108.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.