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Finding the Third Proportional to 84,206 and 134,193

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Solution

The third proportional to 84,206 and 134,193 is: 213,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206 : 134,193 = 134,193 : x
  2. Step 2: Convert to fraction form
    84,206/134,193 = 134,193/x
  3. Step 3: Cross multiply
    84,206x = 134,193 × 134,193
  4. Step 4: Simplify right side
    84,206x = 18,007,761,249
  5. Step 5: Solve for x
    x = 18,007,761,249/84,206
  6. Step 6: Final answer
    x = 213,853.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.