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Finding the Third Proportional to 43,698 and 102,717

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Solution

The third proportional to 43,698 and 102,717 is: 241,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,698 : 102,717 = 102,717 : x
  2. Step 2: Convert to fraction form
    43,698/102,717 = 102,717/x
  3. Step 3: Cross multiply
    43,698x = 102,717 × 102,717
  4. Step 4: Simplify right side
    43,698x = 10,550,782,089
  5. Step 5: Solve for x
    x = 10,550,782,089/43,698
  6. Step 6: Final answer
    x = 241,447.71

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.