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Finding the Third Proportional to 60,728 and 132,661

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Solution

The third proportional to 60,728 and 132,661 is: 289,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,728 : 132,661 = 132,661 : x
  2. Step 2: Convert to fraction form
    60,728/132,661 = 132,661/x
  3. Step 3: Cross multiply
    60,728x = 132,661 × 132,661
  4. Step 4: Simplify right side
    60,728x = 17,598,940,921
  5. Step 5: Solve for x
    x = 17,598,940,921/60,728
  6. Step 6: Final answer
    x = 289,799.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.