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Finding the Third Proportional to 54,579 and 113,766

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Solution

The third proportional to 54,579 and 113,766 is: 237,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,579 : 113,766 = 113,766 : x
  2. Step 2: Convert to fraction form
    54,579/113,766 = 113,766/x
  3. Step 3: Cross multiply
    54,579x = 113,766 × 113,766
  4. Step 4: Simplify right side
    54,579x = 12,942,702,756
  5. Step 5: Solve for x
    x = 12,942,702,756/54,579
  6. Step 6: Final answer
    x = 237,137.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.