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Finding the Third Proportional to 54,538 and 118,930

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Solution

The third proportional to 54,538 and 118,930 is: 259,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538 : 118,930 = 118,930 : x
  2. Step 2: Convert to fraction form
    54,538/118,930 = 118,930/x
  3. Step 3: Cross multiply
    54,538x = 118,930 × 118,930
  4. Step 4: Simplify right side
    54,538x = 14,144,344,900
  5. Step 5: Solve for x
    x = 14,144,344,900/54,538
  6. Step 6: Final answer
    x = 259,348.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.