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Finding the Third Proportional to 95,874 and 134,082

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Solution

The third proportional to 95,874 and 134,082 is: 187,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,874 : 134,082 = 134,082 : x
  2. Step 2: Convert to fraction form
    95,874/134,082 = 134,082/x
  3. Step 3: Cross multiply
    95,874x = 134,082 × 134,082
  4. Step 4: Simplify right side
    95,874x = 17,977,982,724
  5. Step 5: Solve for x
    x = 17,977,982,724/95,874
  6. Step 6: Final answer
    x = 187,516.77

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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.