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Finding the Third Proportional to 48,133.25 and 115,958.75

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Solution

The third proportional to 48,133.25 and 115,958.75 is: 279,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,133.25 : 115,958.75 = 115,958.75 : x
  2. Step 2: Convert to fraction form
    48,133.25/115,958.75 = 115,958.75/x
  3. Step 3: Cross multiply
    48,133.25x = 115,958.75 × 115,958.75
  4. Step 4: Simplify right side
    48,133.25x = 13,446,431,701.56
  5. Step 5: Solve for x
    x = 13,446,431,701.56/48,133.25
  6. Step 6: Final answer
    x = 279,358.48

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.