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Finding the Third Proportional to 82,626 and 179,265

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Solution

The third proportional to 82,626 and 179,265 is: 388,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,626 : 179,265 = 179,265 : x
  2. Step 2: Convert to fraction form
    82,626/179,265 = 179,265/x
  3. Step 3: Cross multiply
    82,626x = 179,265 × 179,265
  4. Step 4: Simplify right side
    82,626x = 32,135,940,225
  5. Step 5: Solve for x
    x = 32,135,940,225/82,626
  6. Step 6: Final answer
    x = 388,932.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.