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Finding the Third Proportional to 49,529 and 108,085

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Solution

The third proportional to 49,529 and 108,085 is: 235,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529 : 108,085 = 108,085 : x
  2. Step 2: Convert to fraction form
    49,529/108,085 = 108,085/x
  3. Step 3: Cross multiply
    49,529x = 108,085 × 108,085
  4. Step 4: Simplify right side
    49,529x = 11,682,367,225
  5. Step 5: Solve for x
    x = 11,682,367,225/49,529
  6. Step 6: Final answer
    x = 235,869.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.