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Finding the Third Proportional to 43,544 and 65,147

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Solution

The third proportional to 43,544 and 65,147 is: 97,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,544 : 65,147 = 65,147 : x
  2. Step 2: Convert to fraction form
    43,544/65,147 = 65,147/x
  3. Step 3: Cross multiply
    43,544x = 65,147 × 65,147
  4. Step 4: Simplify right side
    43,544x = 4,244,131,609
  5. Step 5: Solve for x
    x = 4,244,131,609/43,544
  6. Step 6: Final answer
    x = 97,467.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.