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Finding the Third Proportional to 146,032 and 189,096

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Solution

The third proportional to 146,032 and 189,096 is: 244,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,032 : 189,096 = 189,096 : x
  2. Step 2: Convert to fraction form
    146,032/189,096 = 189,096/x
  3. Step 3: Cross multiply
    146,032x = 189,096 × 189,096
  4. Step 4: Simplify right side
    146,032x = 35,757,297,216
  5. Step 5: Solve for x
    x = 35,757,297,216/146,032
  6. Step 6: Final answer
    x = 244,859.33

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.