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Finding the Third Proportional to 90,739 and 136,199

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Solution

The third proportional to 90,739 and 136,199 is: 204,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,739 : 136,199 = 136,199 : x
  2. Step 2: Convert to fraction form
    90,739/136,199 = 136,199/x
  3. Step 3: Cross multiply
    90,739x = 136,199 × 136,199
  4. Step 4: Simplify right side
    90,739x = 18,550,167,601
  5. Step 5: Solve for x
    x = 18,550,167,601/90,739
  6. Step 6: Final answer
    x = 204,434.34

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