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Finding the Third Proportional to 88,738 and 133,147

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Solution

The third proportional to 88,738 and 133,147 is: 199,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,738 : 133,147 = 133,147 : x
  2. Step 2: Convert to fraction form
    88,738/133,147 = 133,147/x
  3. Step 3: Cross multiply
    88,738x = 133,147 × 133,147
  4. Step 4: Simplify right side
    88,738x = 17,728,123,609
  5. Step 5: Solve for x
    x = 17,728,123,609/88,738
  6. Step 6: Final answer
    x = 199,780.52

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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.