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Finding the Third Proportional to 36,441 and 79,200

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Solution

The third proportional to 36,441 and 79,200 is: 172,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,441 : 79,200 = 79,200 : x
  2. Step 2: Convert to fraction form
    36,441/79,200 = 79,200/x
  3. Step 3: Cross multiply
    36,441x = 79,200 × 79,200
  4. Step 4: Simplify right side
    36,441x = 6,272,640,000
  5. Step 5: Solve for x
    x = 6,272,640,000/36,441
  6. Step 6: Final answer
    x = 172,131.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.