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Finding the Third Proportional to 90,257.50 and 140,322

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Solution

The third proportional to 90,257.50 and 140,322 is: 218,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,257.50 : 140,322 = 140,322 : x
  2. Step 2: Convert to fraction form
    90,257.50/140,322 = 140,322/x
  3. Step 3: Cross multiply
    90,257.50x = 140,322 × 140,322
  4. Step 4: Simplify right side
    90,257.50x = 19,690,263,684
  5. Step 5: Solve for x
    x = 19,690,263,684/90,257.50
  6. Step 6: Final answer
    x = 218,156.54

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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.