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Finding the Third Proportional to 68,079 and 95,223

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Solution

The third proportional to 68,079 and 95,223 is: 133,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,079 : 95,223 = 95,223 : x
  2. Step 2: Convert to fraction form
    68,079/95,223 = 95,223/x
  3. Step 3: Cross multiply
    68,079x = 95,223 × 95,223
  4. Step 4: Simplify right side
    68,079x = 9,067,419,729
  5. Step 5: Solve for x
    x = 9,067,419,729/68,079
  6. Step 6: Final answer
    x = 133,189.67

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Why These Related Problems?

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