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Finding the Third Proportional to 54,913.50 and 119,898

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Solution

The third proportional to 54,913.50 and 119,898 is: 261,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,913.50 : 119,898 = 119,898 : x
  2. Step 2: Convert to fraction form
    54,913.50/119,898 = 119,898/x
  3. Step 3: Cross multiply
    54,913.50x = 119,898 × 119,898
  4. Step 4: Simplify right side
    54,913.50x = 14,375,530,404
  5. Step 5: Solve for x
    x = 14,375,530,404/54,913.50
  6. Step 6: Final answer
    x = 261,785.00

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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.