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Finding the Third Proportional to 95,696 and 136,983

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Solution

The third proportional to 95,696 and 136,983 is: 196,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,696 : 136,983 = 136,983 : x
  2. Step 2: Convert to fraction form
    95,696/136,983 = 136,983/x
  3. Step 3: Cross multiply
    95,696x = 136,983 × 136,983
  4. Step 4: Simplify right side
    95,696x = 18,764,342,289
  5. Step 5: Solve for x
    x = 18,764,342,289/95,696
  6. Step 6: Final answer
    x = 196,082.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.