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Finding the Third Proportional to 36,255 and 79,661

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Solution

The third proportional to 36,255 and 79,661 is: 175,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,255 : 79,661 = 79,661 : x
  2. Step 2: Convert to fraction form
    36,255/79,661 = 79,661/x
  3. Step 3: Cross multiply
    36,255x = 79,661 × 79,661
  4. Step 4: Simplify right side
    36,255x = 6,345,874,921
  5. Step 5: Solve for x
    x = 6,345,874,921/36,255
  6. Step 6: Final answer
    x = 175,034.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.