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Finding the Third Proportional to 80,168 and 154,192

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Solution

The third proportional to 80,168 and 154,192 is: 296,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,168 : 154,192 = 154,192 : x
  2. Step 2: Convert to fraction form
    80,168/154,192 = 154,192/x
  3. Step 3: Cross multiply
    80,168x = 154,192 × 154,192
  4. Step 4: Simplify right side
    80,168x = 23,775,172,864
  5. Step 5: Solve for x
    x = 23,775,172,864/80,168
  6. Step 6: Final answer
    x = 296,566.87

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.