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Finding the Third Proportional to 41,666 and 91,670

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Solution

The third proportional to 41,666 and 91,670 is: 201,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,666 : 91,670 = 91,670 : x
  2. Step 2: Convert to fraction form
    41,666/91,670 = 91,670/x
  3. Step 3: Cross multiply
    41,666x = 91,670 × 91,670
  4. Step 4: Simplify right side
    41,666x = 8,403,388,900
  5. Step 5: Solve for x
    x = 8,403,388,900/41,666
  6. Step 6: Final answer
    x = 201,684.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.