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Finding the Third Proportional to 90,668 and 140,738

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Solution

The third proportional to 90,668 and 140,738 is: 218,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,668 : 140,738 = 140,738 : x
  2. Step 2: Convert to fraction form
    90,668/140,738 = 140,738/x
  3. Step 3: Cross multiply
    90,668x = 140,738 × 140,738
  4. Step 4: Simplify right side
    90,668x = 19,807,184,644
  5. Step 5: Solve for x
    x = 19,807,184,644/90,668
  6. Step 6: Final answer
    x = 218,458.38

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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.