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Finding the Third Proportional to 54,962 and 117,698

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Solution

The third proportional to 54,962 and 117,698 is: 252,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,962 : 117,698 = 117,698 : x
  2. Step 2: Convert to fraction form
    54,962/117,698 = 117,698/x
  3. Step 3: Cross multiply
    54,962x = 117,698 × 117,698
  4. Step 4: Simplify right side
    54,962x = 13,852,819,204
  5. Step 5: Solve for x
    x = 13,852,819,204/54,962
  6. Step 6: Final answer
    x = 252,043.58

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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.