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Finding the Third Proportional to 79,067 and 169,434

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Solution

The third proportional to 79,067 and 169,434 is: 363,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,067 : 169,434 = 169,434 : x
  2. Step 2: Convert to fraction form
    79,067/169,434 = 169,434/x
  3. Step 3: Cross multiply
    79,067x = 169,434 × 169,434
  4. Step 4: Simplify right side
    79,067x = 28,707,880,356
  5. Step 5: Solve for x
    x = 28,707,880,356/79,067
  6. Step 6: Final answer
    x = 363,082.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.