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Finding the Third Proportional to 88,638 and 133,021

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Solution

The third proportional to 88,638 and 133,021 is: 199,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,638 : 133,021 = 133,021 : x
  2. Step 2: Convert to fraction form
    88,638/133,021 = 133,021/x
  3. Step 3: Cross multiply
    88,638x = 133,021 × 133,021
  4. Step 4: Simplify right side
    88,638x = 17,694,586,441
  5. Step 5: Solve for x
    x = 17,694,586,441/88,638
  6. Step 6: Final answer
    x = 199,627.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.