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Finding the Third Proportional to 80,238 and 124,176

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Solution

The third proportional to 80,238 and 124,176 is: 192,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,238 : 124,176 = 124,176 : x
  2. Step 2: Convert to fraction form
    80,238/124,176 = 124,176/x
  3. Step 3: Cross multiply
    80,238x = 124,176 × 124,176
  4. Step 4: Simplify right side
    80,238x = 15,419,678,976
  5. Step 5: Solve for x
    x = 15,419,678,976/80,238
  6. Step 6: Final answer
    x = 192,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.