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Finding the Third Proportional to 49,986 and 106,596

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Solution

The third proportional to 49,986 and 106,596 is: 227,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,986 : 106,596 = 106,596 : x
  2. Step 2: Convert to fraction form
    49,986/106,596 = 106,596/x
  3. Step 3: Cross multiply
    49,986x = 106,596 × 106,596
  4. Step 4: Simplify right side
    49,986x = 11,362,707,216
  5. Step 5: Solve for x
    x = 11,362,707,216/49,986
  6. Step 6: Final answer
    x = 227,317.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.