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Finding the Third Proportional to 90,142.50 and 192,350

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Solution

The third proportional to 90,142.50 and 192,350 is: 410,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,142.50 : 192,350 = 192,350 : x
  2. Step 2: Convert to fraction form
    90,142.50/192,350 = 192,350/x
  3. Step 3: Cross multiply
    90,142.50x = 192,350 × 192,350
  4. Step 4: Simplify right side
    90,142.50x = 36,998,522,500
  5. Step 5: Solve for x
    x = 36,998,522,500/90,142.50
  6. Step 6: Final answer
    x = 410,444.82

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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.