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Finding the Third Proportional to 43,823 and 71,199

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Solution

The third proportional to 43,823 and 71,199 is: 115,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823 : 71,199 = 71,199 : x
  2. Step 2: Convert to fraction form
    43,823/71,199 = 71,199/x
  3. Step 3: Cross multiply
    43,823x = 71,199 × 71,199
  4. Step 4: Simplify right side
    43,823x = 5,069,297,601
  5. Step 5: Solve for x
    x = 5,069,297,601/43,823
  6. Step 6: Final answer
    x = 115,676.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.