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Finding the Third Proportional to 52,863.75 and 75,163.50

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Solution

The third proportional to 52,863.75 and 75,163.50 is: 106,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,863.75 : 75,163.50 = 75,163.50 : x
  2. Step 2: Convert to fraction form
    52,863.75/75,163.50 = 75,163.50/x
  3. Step 3: Cross multiply
    52,863.75x = 75,163.50 × 75,163.50
  4. Step 4: Simplify right side
    52,863.75x = 5,649,551,732.25
  5. Step 5: Solve for x
    x = 5,649,551,732.25/52,863.75
  6. Step 6: Final answer
    x = 106,870.05

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.