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Finding the Third Proportional to 79,879 and 175,960

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Solution

The third proportional to 79,879 and 175,960 is: 387,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,879 : 175,960 = 175,960 : x
  2. Step 2: Convert to fraction form
    79,879/175,960 = 175,960/x
  3. Step 3: Cross multiply
    79,879x = 175,960 × 175,960
  4. Step 4: Simplify right side
    79,879x = 30,961,921,600
  5. Step 5: Solve for x
    x = 30,961,921,600/79,879
  6. Step 6: Final answer
    x = 387,610.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.