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Finding the Third Proportional to 61,568 and 132,634

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Solution

The third proportional to 61,568 and 132,634 is: 285,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,568 : 132,634 = 132,634 : x
  2. Step 2: Convert to fraction form
    61,568/132,634 = 132,634/x
  3. Step 3: Cross multiply
    61,568x = 132,634 × 132,634
  4. Step 4: Simplify right side
    61,568x = 17,591,777,956
  5. Step 5: Solve for x
    x = 17,591,777,956/61,568
  6. Step 6: Final answer
    x = 285,729.24

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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.