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Finding the Third Proportional to 122,212.13 and 181,524.38

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Solution

The third proportional to 122,212.13 and 181,524.38 is: 269,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,212.13 : 181,524.38 = 181,524.38 : x
  2. Step 2: Convert to fraction form
    122,212.13/181,524.38 = 181,524.38/x
  3. Step 3: Cross multiply
    122,212.13x = 181,524.38 × 181,524.38
  4. Step 4: Simplify right side
    122,212.13x = 32,951,098,719.14
  5. Step 5: Solve for x
    x = 32,951,098,719.14/122,212.13
  6. Step 6: Final answer
    x = 269,622.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.