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Finding the Third Proportional to 54,579 and 119,913

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Solution

The third proportional to 54,579 and 119,913 is: 263,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,579 : 119,913 = 119,913 : x
  2. Step 2: Convert to fraction form
    54,579/119,913 = 119,913/x
  3. Step 3: Cross multiply
    54,579x = 119,913 × 119,913
  4. Step 4: Simplify right side
    54,579x = 14,379,127,569
  5. Step 5: Solve for x
    x = 14,379,127,569/54,579
  6. Step 6: Final answer
    x = 263,455.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.