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Finding the Third Proportional to 80,226 and 173,172

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Solution

The third proportional to 80,226 and 173,172 is: 373,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,226 : 173,172 = 173,172 : x
  2. Step 2: Convert to fraction form
    80,226/173,172 = 173,172/x
  3. Step 3: Cross multiply
    80,226x = 173,172 × 173,172
  4. Step 4: Simplify right side
    80,226x = 29,988,541,584
  5. Step 5: Solve for x
    x = 29,988,541,584/80,226
  6. Step 6: Final answer
    x = 373,800.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.