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Finding the Third Proportional to 43,676 and 102,669

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Solution

The third proportional to 43,676 and 102,669 is: 241,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676 : 102,669 = 102,669 : x
  2. Step 2: Convert to fraction form
    43,676/102,669 = 102,669/x
  3. Step 3: Cross multiply
    43,676x = 102,669 × 102,669
  4. Step 4: Simplify right side
    43,676x = 10,540,923,561
  5. Step 5: Solve for x
    x = 10,540,923,561/43,676
  6. Step 6: Final answer
    x = 241,343.61

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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.