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Finding the Third Proportional to 67,638 and 106,101

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Solution

The third proportional to 67,638 and 106,101 is: 166,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,638 : 106,101 = 106,101 : x
  2. Step 2: Convert to fraction form
    67,638/106,101 = 106,101/x
  3. Step 3: Cross multiply
    67,638x = 106,101 × 106,101
  4. Step 4: Simplify right side
    67,638x = 11,257,422,201
  5. Step 5: Solve for x
    x = 11,257,422,201/67,638
  6. Step 6: Final answer
    x = 166,436.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.