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Finding the Third Proportional to 43,206 and 87,612

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Solution

The third proportional to 43,206 and 87,612 is: 177,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 87,612 = 87,612 : x
  2. Step 2: Convert to fraction form
    43,206/87,612 = 87,612/x
  3. Step 3: Cross multiply
    43,206x = 87,612 × 87,612
  4. Step 4: Simplify right side
    43,206x = 7,675,862,544
  5. Step 5: Solve for x
    x = 7,675,862,544/43,206
  6. Step 6: Final answer
    x = 177,657.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.