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Finding the Third Proportional to 133,923.38 and 181,883.81

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Solution

The third proportional to 133,923.38 and 181,883.81 is: 247,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,923.38 : 181,883.81 = 181,883.81 : x
  2. Step 2: Convert to fraction form
    133,923.38/181,883.81 = 181,883.81/x
  3. Step 3: Cross multiply
    133,923.38x = 181,883.81 × 181,883.81
  4. Step 4: Simplify right side
    133,923.38x = 33,081,721,249.54
  5. Step 5: Solve for x
    x = 33,081,721,249.54/133,923.38
  6. Step 6: Final answer
    x = 247,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.