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Finding the Third Proportional to 79,861 and 119,793

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Solution

The third proportional to 79,861 and 119,793 is: 179,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,861 : 119,793 = 119,793 : x
  2. Step 2: Convert to fraction form
    79,861/119,793 = 119,793/x
  3. Step 3: Cross multiply
    79,861x = 119,793 × 119,793
  4. Step 4: Simplify right side
    79,861x = 14,350,362,849
  5. Step 5: Solve for x
    x = 14,350,362,849/79,861
  6. Step 6: Final answer
    x = 179,691.75

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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.