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Finding the Third Proportional to 49,941 and 106,989

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Solution

The third proportional to 49,941 and 106,989 is: 229,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,941 : 106,989 = 106,989 : x
  2. Step 2: Convert to fraction form
    49,941/106,989 = 106,989/x
  3. Step 3: Cross multiply
    49,941x = 106,989 × 106,989
  4. Step 4: Simplify right side
    49,941x = 11,446,646,121
  5. Step 5: Solve for x
    x = 11,446,646,121/49,941
  6. Step 6: Final answer
    x = 229,203.38

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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.