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Finding the Third Proportional to 43,082 and 92,404

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Solution

The third proportional to 43,082 and 92,404 is: 198,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082 : 92,404 = 92,404 : x
  2. Step 2: Convert to fraction form
    43,082/92,404 = 92,404/x
  3. Step 3: Cross multiply
    43,082x = 92,404 × 92,404
  4. Step 4: Simplify right side
    43,082x = 8,538,499,216
  5. Step 5: Solve for x
    x = 8,538,499,216/43,082
  6. Step 6: Final answer
    x = 198,191.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.