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Finding the Third Proportional to 78,834 and 119,067

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Solution

The third proportional to 78,834 and 119,067 is: 179,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834 : 119,067 = 119,067 : x
  2. Step 2: Convert to fraction form
    78,834/119,067 = 119,067/x
  3. Step 3: Cross multiply
    78,834x = 119,067 × 119,067
  4. Step 4: Simplify right side
    78,834x = 14,176,950,489
  5. Step 5: Solve for x
    x = 14,176,950,489/78,834
  6. Step 6: Final answer
    x = 179,832.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.