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Finding the Third Proportional to 54,544.50 and 114,054.75

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Solution

The third proportional to 54,544.50 and 114,054.75 is: 238,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544.50 : 114,054.75 = 114,054.75 : x
  2. Step 2: Convert to fraction form
    54,544.50/114,054.75 = 114,054.75/x
  3. Step 3: Cross multiply
    54,544.50x = 114,054.75 × 114,054.75
  4. Step 4: Simplify right side
    54,544.50x = 13,008,485,997.56
  5. Step 5: Solve for x
    x = 13,008,485,997.56/54,544.50
  6. Step 6: Final answer
    x = 238,493.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.