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Finding the Third Proportional to 54,949 and 117,673

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Solution

The third proportional to 54,949 and 117,673 is: 251,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,949 : 117,673 = 117,673 : x
  2. Step 2: Convert to fraction form
    54,949/117,673 = 117,673/x
  3. Step 3: Cross multiply
    54,949x = 117,673 × 117,673
  4. Step 4: Simplify right side
    54,949x = 13,846,934,929
  5. Step 5: Solve for x
    x = 13,846,934,929/54,949
  6. Step 6: Final answer
    x = 251,996.12

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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.