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Finding the Third Proportional to 79,299 and 171,666

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Solution

The third proportional to 79,299 and 171,666 is: 371,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,299 : 171,666 = 171,666 : x
  2. Step 2: Convert to fraction form
    79,299/171,666 = 171,666/x
  3. Step 3: Cross multiply
    79,299x = 171,666 × 171,666
  4. Step 4: Simplify right side
    79,299x = 29,469,215,556
  5. Step 5: Solve for x
    x = 29,469,215,556/79,299
  6. Step 6: Final answer
    x = 371,621.53

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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.