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Finding the Third Proportional to 54,677 and 119,640.75

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Solution

The third proportional to 54,677 and 119,640.75 is: 261,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677 : 119,640.75 = 119,640.75 : x
  2. Step 2: Convert to fraction form
    54,677/119,640.75 = 119,640.75/x
  3. Step 3: Cross multiply
    54,677x = 119,640.75 × 119,640.75
  4. Step 4: Simplify right side
    54,677x = 14,313,909,060.56
  5. Step 5: Solve for x
    x = 14,313,909,060.56/54,677
  6. Step 6: Final answer
    x = 261,790.32

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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.