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Finding the Third Proportional to 36,704 and 80,536

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Solution

The third proportional to 36,704 and 80,536 is: 176,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,704 : 80,536 = 80,536 : x
  2. Step 2: Convert to fraction form
    36,704/80,536 = 80,536/x
  3. Step 3: Cross multiply
    36,704x = 80,536 × 80,536
  4. Step 4: Simplify right side
    36,704x = 6,486,047,296
  5. Step 5: Solve for x
    x = 6,486,047,296/36,704
  6. Step 6: Final answer
    x = 176,712.27

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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.