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Finding the Third Proportional to 41,758.50 and 91,012

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Solution

The third proportional to 41,758.50 and 91,012 is: 198,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,758.50 : 91,012 = 91,012 : x
  2. Step 2: Convert to fraction form
    41,758.50/91,012 = 91,012/x
  3. Step 3: Cross multiply
    41,758.50x = 91,012 × 91,012
  4. Step 4: Simplify right side
    41,758.50x = 8,283,184,144
  5. Step 5: Solve for x
    x = 8,283,184,144/41,758.50
  6. Step 6: Final answer
    x = 198,359.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.