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Finding the Third Proportional to 79,109 and 119,000

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Solution

The third proportional to 79,109 and 119,000 is: 179,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,109 : 119,000 = 119,000 : x
  2. Step 2: Convert to fraction form
    79,109/119,000 = 119,000/x
  3. Step 3: Cross multiply
    79,109x = 119,000 × 119,000
  4. Step 4: Simplify right side
    79,109x = 14,161,000,000
  5. Step 5: Solve for x
    x = 14,161,000,000/79,109
  6. Step 6: Final answer
    x = 179,006.18

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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.