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Finding the Third Proportional to 68,082 and 95,226

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Solution

The third proportional to 68,082 and 95,226 is: 133,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082 : 95,226 = 95,226 : x
  2. Step 2: Convert to fraction form
    68,082/95,226 = 95,226/x
  3. Step 3: Cross multiply
    68,082x = 95,226 × 95,226
  4. Step 4: Simplify right side
    68,082x = 9,067,991,076
  5. Step 5: Solve for x
    x = 9,067,991,076/68,082
  6. Step 6: Final answer
    x = 133,192.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.