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Finding the Third Proportional to 133,924.50 and 202,614.75

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Solution

The third proportional to 133,924.50 and 202,614.75 is: 306,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,924.50 : 202,614.75 = 202,614.75 : x
  2. Step 2: Convert to fraction form
    133,924.50/202,614.75 = 202,614.75/x
  3. Step 3: Cross multiply
    133,924.50x = 202,614.75 × 202,614.75
  4. Step 4: Simplify right side
    133,924.50x = 41,052,736,917.56
  5. Step 5: Solve for x
    x = 41,052,736,917.56/133,924.50
  6. Step 6: Final answer
    x = 306,536.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.