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Finding the Third Proportional to 72,231.75 and 174,018.38

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Solution

The third proportional to 72,231.75 and 174,018.38 is: 419,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,231.75 : 174,018.38 = 174,018.38 : x
  2. Step 2: Convert to fraction form
    72,231.75/174,018.38 = 174,018.38/x
  3. Step 3: Cross multiply
    72,231.75x = 174,018.38 × 174,018.38
  4. Step 4: Simplify right side
    72,231.75x = 30,282,394,837.64
  5. Step 5: Solve for x
    x = 30,282,394,837.64/72,231.75
  6. Step 6: Final answer
    x = 419,239.39

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.