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Finding the Third Proportional to 41,505.25 and 91,732.50

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Solution

The third proportional to 41,505.25 and 91,732.50 is: 202,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505.25 : 91,732.50 = 91,732.50 : x
  2. Step 2: Convert to fraction form
    41,505.25/91,732.50 = 91,732.50/x
  3. Step 3: Cross multiply
    41,505.25x = 91,732.50 × 91,732.50
  4. Step 4: Simplify right side
    41,505.25x = 8,414,851,556.25
  5. Step 5: Solve for x
    x = 8,414,851,556.25/41,505.25
  6. Step 6: Final answer
    x = 202,741.86

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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.