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Finding the Third Proportional to 49,954 and 106,993

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Solution

The third proportional to 49,954 and 106,993 is: 229,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,954 : 106,993 = 106,993 : x
  2. Step 2: Convert to fraction form
    49,954/106,993 = 106,993/x
  3. Step 3: Cross multiply
    49,954x = 106,993 × 106,993
  4. Step 4: Simplify right side
    49,954x = 11,447,502,049
  5. Step 5: Solve for x
    x = 11,447,502,049/49,954
  6. Step 6: Final answer
    x = 229,160.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.