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Finding the Third Proportional to 50,564.25 and 75,846.38

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Solution

The third proportional to 50,564.25 and 75,846.38 is: 113,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.25 : 75,846.38 = 75,846.38 : x
  2. Step 2: Convert to fraction form
    50,564.25/75,846.38 = 75,846.38/x
  3. Step 3: Cross multiply
    50,564.25x = 75,846.38 × 75,846.38
  4. Step 4: Simplify right side
    50,564.25x = 5,752,672,600.64
  5. Step 5: Solve for x
    x = 5,752,672,600.64/50,564.25
  6. Step 6: Final answer
    x = 113,769.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.