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Finding the Third Proportional to 54,563.94 and 118,738.72

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Solution

The third proportional to 54,563.94 and 118,738.72 is: 258,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,563.94 : 118,738.72 = 118,738.72 : x
  2. Step 2: Convert to fraction form
    54,563.94/118,738.72 = 118,738.72/x
  3. Step 3: Cross multiply
    54,563.94x = 118,738.72 × 118,738.72
  4. Step 4: Simplify right side
    54,563.94x = 14,098,884,258.04
  5. Step 5: Solve for x
    x = 14,098,884,258.04/54,563.94
  6. Step 6: Final answer
    x = 258,391.97

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