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Finding the Third Proportional to 51,286.50 and 115,742.25

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Solution

The third proportional to 51,286.50 and 115,742.25 is: 261,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,286.50 : 115,742.25 = 115,742.25 : x
  2. Step 2: Convert to fraction form
    51,286.50/115,742.25 = 115,742.25/x
  3. Step 3: Cross multiply
    51,286.50x = 115,742.25 × 115,742.25
  4. Step 4: Simplify right side
    51,286.50x = 13,396,268,435.06
  5. Step 5: Solve for x
    x = 13,396,268,435.06/51,286.50
  6. Step 6: Final answer
    x = 261,204.57

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.