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Finding the Third Proportional to 43,998 and 103,754

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Solution

The third proportional to 43,998 and 103,754 is: 244,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,998 : 103,754 = 103,754 : x
  2. Step 2: Convert to fraction form
    43,998/103,754 = 103,754/x
  3. Step 3: Cross multiply
    43,998x = 103,754 × 103,754
  4. Step 4: Simplify right side
    43,998x = 10,764,892,516
  5. Step 5: Solve for x
    x = 10,764,892,516/43,998
  6. Step 6: Final answer
    x = 244,667.77

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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.