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Finding the Third Proportional to 54,880 and 119,804

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Solution

The third proportional to 54,880 and 119,804 is: 261,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880 : 119,804 = 119,804 : x
  2. Step 2: Convert to fraction form
    54,880/119,804 = 119,804/x
  3. Step 3: Cross multiply
    54,880x = 119,804 × 119,804
  4. Step 4: Simplify right side
    54,880x = 14,352,998,416
  5. Step 5: Solve for x
    x = 14,352,998,416/54,880
  6. Step 6: Final answer
    x = 261,534.23

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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.