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Finding the Third Proportional to 80,596 and 173,086

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Solution

The third proportional to 80,596 and 173,086 is: 371,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,596 : 173,086 = 173,086 : x
  2. Step 2: Convert to fraction form
    80,596/173,086 = 173,086/x
  3. Step 3: Cross multiply
    80,596x = 173,086 × 173,086
  4. Step 4: Simplify right side
    80,596x = 29,958,763,396
  5. Step 5: Solve for x
    x = 29,958,763,396/80,596
  6. Step 6: Final answer
    x = 371,715.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.