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Finding the Third Proportional to 90,310.50 and 140,294.25

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Solution

The third proportional to 90,310.50 and 140,294.25 is: 217,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,310.50 : 140,294.25 = 140,294.25 : x
  2. Step 2: Convert to fraction form
    90,310.50/140,294.25 = 140,294.25/x
  3. Step 3: Cross multiply
    90,310.50x = 140,294.25 × 140,294.25
  4. Step 4: Simplify right side
    90,310.50x = 19,682,476,583.06
  5. Step 5: Solve for x
    x = 19,682,476,583.06/90,310.50
  6. Step 6: Final answer
    x = 217,942.28

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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.