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Finding the Third Proportional to 67,771.50 and 90,568.50

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Solution

The third proportional to 67,771.50 and 90,568.50 is: 121,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,771.50 : 90,568.50 = 90,568.50 : x
  2. Step 2: Convert to fraction form
    67,771.50/90,568.50 = 90,568.50/x
  3. Step 3: Cross multiply
    67,771.50x = 90,568.50 × 90,568.50
  4. Step 4: Simplify right side
    67,771.50x = 8,202,653,192.25
  5. Step 5: Solve for x
    x = 8,202,653,192.25/67,771.50
  6. Step 6: Final answer
    x = 121,033.96

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.