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Finding the Third Proportional to 54,369.56 and 119,776.22

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Solution

The third proportional to 54,369.56 and 119,776.22 is: 263,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,369.56 : 119,776.22 = 119,776.22 : x
  2. Step 2: Convert to fraction form
    54,369.56/119,776.22 = 119,776.22/x
  3. Step 3: Cross multiply
    54,369.56x = 119,776.22 × 119,776.22
  4. Step 4: Simplify right side
    54,369.56x = 14,346,342,578.05
  5. Step 5: Solve for x
    x = 14,346,342,578.05/54,369.56
  6. Step 6: Final answer
    x = 263,867.17

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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.