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Finding the Third Proportional to 36,544 and 78,256

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Solution

The third proportional to 36,544 and 78,256 is: 167,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,544 : 78,256 = 78,256 : x
  2. Step 2: Convert to fraction form
    36,544/78,256 = 78,256/x
  3. Step 3: Cross multiply
    36,544x = 78,256 × 78,256
  4. Step 4: Simplify right side
    36,544x = 6,124,001,536
  5. Step 5: Solve for x
    x = 6,124,001,536/36,544
  6. Step 6: Final answer
    x = 167,578.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.