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Finding the Third Proportional to 122,289 and 188,193

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Solution

The third proportional to 122,289 and 188,193 is: 289,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,289 : 188,193 = 188,193 : x
  2. Step 2: Convert to fraction form
    122,289/188,193 = 188,193/x
  3. Step 3: Cross multiply
    122,289x = 188,193 × 188,193
  4. Step 4: Simplify right side
    122,289x = 35,416,605,249
  5. Step 5: Solve for x
    x = 35,416,605,249/122,289
  6. Step 6: Final answer
    x = 289,613.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.