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Finding the Third Proportional to 36,701 and 80,434

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Solution

The third proportional to 36,701 and 80,434 is: 176,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701 : 80,434 = 80,434 : x
  2. Step 2: Convert to fraction form
    36,701/80,434 = 80,434/x
  3. Step 3: Cross multiply
    36,701x = 80,434 × 80,434
  4. Step 4: Simplify right side
    36,701x = 6,469,628,356
  5. Step 5: Solve for x
    x = 6,469,628,356/36,701
  6. Step 6: Final answer
    x = 176,279.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.