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Finding the Third Proportional to 82,626 and 116,811

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Solution

The third proportional to 82,626 and 116,811 is: 165,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,626 : 116,811 = 116,811 : x
  2. Step 2: Convert to fraction form
    82,626/116,811 = 116,811/x
  3. Step 3: Cross multiply
    82,626x = 116,811 × 116,811
  4. Step 4: Simplify right side
    82,626x = 13,644,809,721
  5. Step 5: Solve for x
    x = 13,644,809,721/82,626
  6. Step 6: Final answer
    x = 165,139.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.