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Finding the Third Proportional to 79,817 and 119,739

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Solution

The third proportional to 79,817 and 119,739 is: 179,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,817 : 119,739 = 119,739 : x
  2. Step 2: Convert to fraction form
    79,817/119,739 = 119,739/x
  3. Step 3: Cross multiply
    79,817x = 119,739 × 119,739
  4. Step 4: Simplify right side
    79,817x = 14,337,428,121
  5. Step 5: Solve for x
    x = 14,337,428,121/79,817
  6. Step 6: Final answer
    x = 179,628.75

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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.