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Finding the Third Proportional to 79,122 and 170,616

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Solution

The third proportional to 79,122 and 170,616 is: 367,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,122 : 170,616 = 170,616 : x
  2. Step 2: Convert to fraction form
    79,122/170,616 = 170,616/x
  3. Step 3: Cross multiply
    79,122x = 170,616 × 170,616
  4. Step 4: Simplify right side
    79,122x = 29,109,819,456
  5. Step 5: Solve for x
    x = 29,109,819,456/79,122
  6. Step 6: Final answer
    x = 367,910.56

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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.