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Finding the Third Proportional to 41,507.25 and 91,736.75

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Solution

The third proportional to 41,507.25 and 91,736.75 is: 202,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507.25 : 91,736.75 = 91,736.75 : x
  2. Step 2: Convert to fraction form
    41,507.25/91,736.75 = 91,736.75/x
  3. Step 3: Cross multiply
    41,507.25x = 91,736.75 × 91,736.75
  4. Step 4: Simplify right side
    41,507.25x = 8,415,631,300.56
  5. Step 5: Solve for x
    x = 8,415,631,300.56/41,507.25
  6. Step 6: Final answer
    x = 202,750.88

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.