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Finding the Third Proportional to 49,149 and 106,621

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Solution

The third proportional to 49,149 and 106,621 is: 231,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149 : 106,621 = 106,621 : x
  2. Step 2: Convert to fraction form
    49,149/106,621 = 106,621/x
  3. Step 3: Cross multiply
    49,149x = 106,621 × 106,621
  4. Step 4: Simplify right side
    49,149x = 11,368,037,641
  5. Step 5: Solve for x
    x = 11,368,037,641/49,149
  6. Step 6: Final answer
    x = 231,297.44

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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.