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Finding the Third Proportional to 103,600 and 146,231

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Solution

The third proportional to 103,600 and 146,231 is: 206,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,600 : 146,231 = 146,231 : x
  2. Step 2: Convert to fraction form
    103,600/146,231 = 146,231/x
  3. Step 3: Cross multiply
    103,600x = 146,231 × 146,231
  4. Step 4: Simplify right side
    103,600x = 21,383,505,361
  5. Step 5: Solve for x
    x = 21,383,505,361/103,600
  6. Step 6: Final answer
    x = 206,404.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.