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Finding the Third Proportional to 43,968 and 103,748

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Solution

The third proportional to 43,968 and 103,748 is: 244,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968 : 103,748 = 103,748 : x
  2. Step 2: Convert to fraction form
    43,968/103,748 = 103,748/x
  3. Step 3: Cross multiply
    43,968x = 103,748 × 103,748
  4. Step 4: Simplify right side
    43,968x = 10,763,647,504
  5. Step 5: Solve for x
    x = 10,763,647,504/43,968
  6. Step 6: Final answer
    x = 244,806.39

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.