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Finding the Third Proportional to 90,248 and 140,296

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Solution

The third proportional to 90,248 and 140,296 is: 218,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,248 : 140,296 = 140,296 : x
  2. Step 2: Convert to fraction form
    90,248/140,296 = 140,296/x
  3. Step 3: Cross multiply
    90,248x = 140,296 × 140,296
  4. Step 4: Simplify right side
    90,248x = 19,682,967,616
  5. Step 5: Solve for x
    x = 19,682,967,616/90,248
  6. Step 6: Final answer
    x = 218,098.66

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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.