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Finding the Third Proportional to 36,222.75 and 67,099.50

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Solution

The third proportional to 36,222.75 and 67,099.50 is: 124,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,222.75 : 67,099.50 = 67,099.50 : x
  2. Step 2: Convert to fraction form
    36,222.75/67,099.50 = 67,099.50/x
  3. Step 3: Cross multiply
    36,222.75x = 67,099.50 × 67,099.50
  4. Step 4: Simplify right side
    36,222.75x = 4,502,342,900.25
  5. Step 5: Solve for x
    x = 4,502,342,900.25/36,222.75
  6. Step 6: Final answer
    x = 124,296.00

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.