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Finding the Third Proportional to 36,198 and 56,254.50

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Solution

The third proportional to 36,198 and 56,254.50 is: 87,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,198 : 56,254.50 = 56,254.50 : x
  2. Step 2: Convert to fraction form
    36,198/56,254.50 = 56,254.50/x
  3. Step 3: Cross multiply
    36,198x = 56,254.50 × 56,254.50
  4. Step 4: Simplify right side
    36,198x = 3,164,568,770.25
  5. Step 5: Solve for x
    x = 3,164,568,770.25/36,198
  6. Step 6: Final answer
    x = 87,423.86

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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.