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Finding the Third Proportional to 36,194.63 and 80,134.88

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Solution

The third proportional to 36,194.63 and 80,134.88 is: 177,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,194.63 : 80,134.88 = 80,134.88 : x
  2. Step 2: Convert to fraction form
    36,194.63/80,134.88 = 80,134.88/x
  3. Step 3: Cross multiply
    36,194.63x = 80,134.88 × 80,134.88
  4. Step 4: Simplify right side
    36,194.63x = 6,421,598,191.27
  5. Step 5: Solve for x
    x = 6,421,598,191.27/36,194.63
  6. Step 6: Final answer
    x = 177,418.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.