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Finding the Third Proportional to 99,723 and 149,247

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Solution

The third proportional to 99,723 and 149,247 is: 223,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,723 : 149,247 = 149,247 : x
  2. Step 2: Convert to fraction form
    99,723/149,247 = 149,247/x
  3. Step 3: Cross multiply
    99,723x = 149,247 × 149,247
  4. Step 4: Simplify right side
    99,723x = 22,274,667,009
  5. Step 5: Solve for x
    x = 22,274,667,009/99,723
  6. Step 6: Final answer
    x = 223,365.39

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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.