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Finding the Third Proportional to 90,676 and 136,093

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Solution

The third proportional to 90,676 and 136,093 is: 204,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,676 : 136,093 = 136,093 : x
  2. Step 2: Convert to fraction form
    90,676/136,093 = 136,093/x
  3. Step 3: Cross multiply
    90,676x = 136,093 × 136,093
  4. Step 4: Simplify right side
    90,676x = 18,521,304,649
  5. Step 5: Solve for x
    x = 18,521,304,649/90,676
  6. Step 6: Final answer
    x = 204,258.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.