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Finding the Third Proportional to 75,453.19 and 159,900.75

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Solution

The third proportional to 75,453.19 and 159,900.75 is: 338,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,453.19 : 159,900.75 = 159,900.75 : x
  2. Step 2: Convert to fraction form
    75,453.19/159,900.75 = 159,900.75/x
  3. Step 3: Cross multiply
    75,453.19x = 159,900.75 × 159,900.75
  4. Step 4: Simplify right side
    75,453.19x = 25,568,249,850.56
  5. Step 5: Solve for x
    x = 25,568,249,850.56/75,453.19
  6. Step 6: Final answer
    x = 338,862.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.