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Finding the Third Proportional to 79,813 and 119,026

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Solution

The third proportional to 79,813 and 119,026 is: 177,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,813 : 119,026 = 119,026 : x
  2. Step 2: Convert to fraction form
    79,813/119,026 = 119,026/x
  3. Step 3: Cross multiply
    79,813x = 119,026 × 119,026
  4. Step 4: Simplify right side
    79,813x = 14,167,188,676
  5. Step 5: Solve for x
    x = 14,167,188,676/79,813
  6. Step 6: Final answer
    x = 177,504.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.