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Finding the Third Proportional to 79,822 and 119,734

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Solution

The third proportional to 79,822 and 119,734 is: 179,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,822 : 119,734 = 119,734 : x
  2. Step 2: Convert to fraction form
    79,822/119,734 = 119,734/x
  3. Step 3: Cross multiply
    79,822x = 119,734 × 119,734
  4. Step 4: Simplify right side
    79,822x = 14,336,230,756
  5. Step 5: Solve for x
    x = 14,336,230,756/79,822
  6. Step 6: Final answer
    x = 179,602.50

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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.