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Finding the Third Proportional to 43,704 and 65,016

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Solution

The third proportional to 43,704 and 65,016 is: 96,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,704 : 65,016 = 65,016 : x
  2. Step 2: Convert to fraction form
    43,704/65,016 = 65,016/x
  3. Step 3: Cross multiply
    43,704x = 65,016 × 65,016
  4. Step 4: Simplify right side
    43,704x = 4,227,080,256
  5. Step 5: Solve for x
    x = 4,227,080,256/43,704
  6. Step 6: Final answer
    x = 96,720.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.