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Finding the Third Proportional to 54,112.50 and 73,716.75

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Solution

The third proportional to 54,112.50 and 73,716.75 is: 100,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,112.50 : 73,716.75 = 73,716.75 : x
  2. Step 2: Convert to fraction form
    54,112.50/73,716.75 = 73,716.75/x
  3. Step 3: Cross multiply
    54,112.50x = 73,716.75 × 73,716.75
  4. Step 4: Simplify right side
    54,112.50x = 5,434,159,230.56
  5. Step 5: Solve for x
    x = 5,434,159,230.56/54,112.50
  6. Step 6: Final answer
    x = 100,423.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.