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Finding the Third Proportional to 54,288 and 119,621

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Solution

The third proportional to 54,288 and 119,621 is: 263,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,288 : 119,621 = 119,621 : x
  2. Step 2: Convert to fraction form
    54,288/119,621 = 119,621/x
  3. Step 3: Cross multiply
    54,288x = 119,621 × 119,621
  4. Step 4: Simplify right side
    54,288x = 14,309,183,641
  5. Step 5: Solve for x
    x = 14,309,183,641/54,288
  6. Step 6: Final answer
    x = 263,579.13

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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.