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Finding the Third Proportional to 80,192 and 170,185

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Solution

The third proportional to 80,192 and 170,185 is: 361,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,192 : 170,185 = 170,185 : x
  2. Step 2: Convert to fraction form
    80,192/170,185 = 170,185/x
  3. Step 3: Cross multiply
    80,192x = 170,185 × 170,185
  4. Step 4: Simplify right side
    80,192x = 28,962,934,225
  5. Step 5: Solve for x
    x = 28,962,934,225/80,192
  6. Step 6: Final answer
    x = 361,169.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.