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Finding the Third Proportional to 54,661 and 80,029

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Solution

The third proportional to 54,661 and 80,029 is: 117,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,661 : 80,029 = 80,029 : x
  2. Step 2: Convert to fraction form
    54,661/80,029 = 80,029/x
  3. Step 3: Cross multiply
    54,661x = 80,029 × 80,029
  4. Step 4: Simplify right side
    54,661x = 6,404,640,841
  5. Step 5: Solve for x
    x = 6,404,640,841/54,661
  6. Step 6: Final answer
    x = 117,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.