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Finding the Third Proportional to 43,682 and 102,682

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Solution

The third proportional to 43,682 and 102,682 is: 241,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,682 : 102,682 = 102,682 : x
  2. Step 2: Convert to fraction form
    43,682/102,682 = 102,682/x
  3. Step 3: Cross multiply
    43,682x = 102,682 × 102,682
  4. Step 4: Simplify right side
    43,682x = 10,543,593,124
  5. Step 5: Solve for x
    x = 10,543,593,124/43,682
  6. Step 6: Final answer
    x = 241,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.