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Finding the Third Proportional to 73,769.06 and 158,056.31

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Solution

The third proportional to 73,769.06 and 158,056.31 is: 338,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,769.06 : 158,056.31 = 158,056.31 : x
  2. Step 2: Convert to fraction form
    73,769.06/158,056.31 = 158,056.31/x
  3. Step 3: Cross multiply
    73,769.06x = 158,056.31 × 158,056.31
  4. Step 4: Simplify right side
    73,769.06x = 24,981,797,921.10
  5. Step 5: Solve for x
    x = 24,981,797,921.10/73,769.06
  6. Step 6: Final answer
    x = 338,648.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.