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Finding the Third Proportional to 44,005 and 102,682

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Solution

The third proportional to 44,005 and 102,682 is: 239,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,005 : 102,682 = 102,682 : x
  2. Step 2: Convert to fraction form
    44,005/102,682 = 102,682/x
  3. Step 3: Cross multiply
    44,005x = 102,682 × 102,682
  4. Step 4: Simplify right side
    44,005x = 10,543,593,124
  5. Step 5: Solve for x
    x = 10,543,593,124/44,005
  6. Step 6: Final answer
    x = 239,599.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.