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Finding the Third Proportional to 79,530 and 171,520

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Solution

The third proportional to 79,530 and 171,520 is: 369,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,530 : 171,520 = 171,520 : x
  2. Step 2: Convert to fraction form
    79,530/171,520 = 171,520/x
  3. Step 3: Cross multiply
    79,530x = 171,520 × 171,520
  4. Step 4: Simplify right side
    79,530x = 29,419,110,400
  5. Step 5: Solve for x
    x = 29,419,110,400/79,530
  6. Step 6: Final answer
    x = 369,912.11

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