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Finding the Third Proportional to 54,950 and 117,676

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Solution

The third proportional to 54,950 and 117,676 is: 252,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950 : 117,676 = 117,676 : x
  2. Step 2: Convert to fraction form
    54,950/117,676 = 117,676/x
  3. Step 3: Cross multiply
    54,950x = 117,676 × 117,676
  4. Step 4: Simplify right side
    54,950x = 13,847,640,976
  5. Step 5: Solve for x
    x = 13,847,640,976/54,950
  6. Step 6: Final answer
    x = 252,004.39

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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.