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Finding the Third Proportional to 49,939 and 106,986

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Solution

The third proportional to 49,939 and 106,986 is: 229,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,939 : 106,986 = 106,986 : x
  2. Step 2: Convert to fraction form
    49,939/106,986 = 106,986/x
  3. Step 3: Cross multiply
    49,939x = 106,986 × 106,986
  4. Step 4: Simplify right side
    49,939x = 11,446,004,196
  5. Step 5: Solve for x
    x = 11,446,004,196/49,939
  6. Step 6: Final answer
    x = 229,199.71

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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.