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Finding the Third Proportional to 54,974.50 and 119,823

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Solution

The third proportional to 54,974.50 and 119,823 is: 261,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974.50 : 119,823 = 119,823 : x
  2. Step 2: Convert to fraction form
    54,974.50/119,823 = 119,823/x
  3. Step 3: Cross multiply
    54,974.50x = 119,823 × 119,823
  4. Step 4: Simplify right side
    54,974.50x = 14,357,551,329
  5. Step 5: Solve for x
    x = 14,357,551,329/54,974.50
  6. Step 6: Final answer
    x = 261,167.47

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Why These Related Problems?

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