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Finding the Third Proportional to 79,620 and 171,036

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Solution

The third proportional to 79,620 and 171,036 is: 367,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,620 : 171,036 = 171,036 : x
  2. Step 2: Convert to fraction form
    79,620/171,036 = 171,036/x
  3. Step 3: Cross multiply
    79,620x = 171,036 × 171,036
  4. Step 4: Simplify right side
    79,620x = 29,253,313,296
  5. Step 5: Solve for x
    x = 29,253,313,296/79,620
  6. Step 6: Final answer
    x = 367,411.62

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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.