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Finding the Third Proportional to 79,831 and 119,758

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Solution

The third proportional to 79,831 and 119,758 is: 179,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,831 : 119,758 = 119,758 : x
  2. Step 2: Convert to fraction form
    79,831/119,758 = 119,758/x
  3. Step 3: Cross multiply
    79,831x = 119,758 × 119,758
  4. Step 4: Simplify right side
    79,831x = 14,341,978,564
  5. Step 5: Solve for x
    x = 14,341,978,564/79,831
  6. Step 6: Final answer
    x = 179,654.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.