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Finding the Third Proportional to 54,735 and 119,694

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Solution

The third proportional to 54,735 and 119,694 is: 261,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735 : 119,694 = 119,694 : x
  2. Step 2: Convert to fraction form
    54,735/119,694 = 119,694/x
  3. Step 3: Cross multiply
    54,735x = 119,694 × 119,694
  4. Step 4: Simplify right side
    54,735x = 14,326,653,636
  5. Step 5: Solve for x
    x = 14,326,653,636/54,735
  6. Step 6: Final answer
    x = 261,745.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.