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Finding the Third Proportional to 36,605 and 80,338

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Solution

The third proportional to 36,605 and 80,338 is: 176,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,605 : 80,338 = 80,338 : x
  2. Step 2: Convert to fraction form
    36,605/80,338 = 80,338/x
  3. Step 3: Cross multiply
    36,605x = 80,338 × 80,338
  4. Step 4: Simplify right side
    36,605x = 6,454,194,244
  5. Step 5: Solve for x
    x = 6,454,194,244/36,605
  6. Step 6: Final answer
    x = 176,320.02

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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.