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Finding the Third Proportional to 88,674 and 133,099

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Solution

The third proportional to 88,674 and 133,099 is: 199,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,674 : 133,099 = 133,099 : x
  2. Step 2: Convert to fraction form
    88,674/133,099 = 133,099/x
  3. Step 3: Cross multiply
    88,674x = 133,099 × 133,099
  4. Step 4: Simplify right side
    88,674x = 17,715,343,801
  5. Step 5: Solve for x
    x = 17,715,343,801/88,674
  6. Step 6: Final answer
    x = 199,780.59

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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.