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Finding the Third Proportional to 79,718 and 119,766

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Solution

The third proportional to 79,718 and 119,766 is: 179,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,718 : 119,766 = 119,766 : x
  2. Step 2: Convert to fraction form
    79,718/119,766 = 119,766/x
  3. Step 3: Cross multiply
    79,718x = 119,766 × 119,766
  4. Step 4: Simplify right side
    79,718x = 14,343,894,756
  5. Step 5: Solve for x
    x = 14,343,894,756/79,718
  6. Step 6: Final answer
    x = 179,932.95

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Why These Related Problems?

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