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Finding the Third Proportional to 79,227 and 174,006

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Solution

The third proportional to 79,227 and 174,006 is: 382,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,227 : 174,006 = 174,006 : x
  2. Step 2: Convert to fraction form
    79,227/174,006 = 174,006/x
  3. Step 3: Cross multiply
    79,227x = 174,006 × 174,006
  4. Step 4: Simplify right side
    79,227x = 30,278,088,036
  5. Step 5: Solve for x
    x = 30,278,088,036/79,227
  6. Step 6: Final answer
    x = 382,168.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.