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Finding the Third Proportional to 75,350.25 and 116,568.75

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Solution

The third proportional to 75,350.25 and 116,568.75 is: 180,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,350.25 : 116,568.75 = 116,568.75 : x
  2. Step 2: Convert to fraction form
    75,350.25/116,568.75 = 116,568.75/x
  3. Step 3: Cross multiply
    75,350.25x = 116,568.75 × 116,568.75
  4. Step 4: Simplify right side
    75,350.25x = 13,588,273,476.56
  5. Step 5: Solve for x
    x = 13,588,273,476.56/75,350.25
  6. Step 6: Final answer
    x = 180,334.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.