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Finding the Third Proportional to 37,050.75 and 78,745.50

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Solution

The third proportional to 37,050.75 and 78,745.50 is: 167,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,050.75 : 78,745.50 = 78,745.50 : x
  2. Step 2: Convert to fraction form
    37,050.75/78,745.50 = 78,745.50/x
  3. Step 3: Cross multiply
    37,050.75x = 78,745.50 × 78,745.50
  4. Step 4: Simplify right side
    37,050.75x = 6,200,853,770.25
  5. Step 5: Solve for x
    x = 6,200,853,770.25/37,050.75
  6. Step 6: Final answer
    x = 167,361.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.