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Finding the Third Proportional to 132,147 and 188,379

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Solution

The third proportional to 132,147 and 188,379 is: 268,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147 : 188,379 = 188,379 : x
  2. Step 2: Convert to fraction form
    132,147/188,379 = 188,379/x
  3. Step 3: Cross multiply
    132,147x = 188,379 × 188,379
  4. Step 4: Simplify right side
    132,147x = 35,486,647,641
  5. Step 5: Solve for x
    x = 35,486,647,641/132,147
  6. Step 6: Final answer
    x = 268,539.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.