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Finding the Third Proportional to 61,661 and 132,680

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Solution

The third proportional to 61,661 and 132,680 is: 285,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,661 : 132,680 = 132,680 : x
  2. Step 2: Convert to fraction form
    61,661/132,680 = 132,680/x
  3. Step 3: Cross multiply
    61,661x = 132,680 × 132,680
  4. Step 4: Simplify right side
    61,661x = 17,603,982,400
  5. Step 5: Solve for x
    x = 17,603,982,400/61,661
  6. Step 6: Final answer
    x = 285,496.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.