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Finding the Third Proportional to 36,909 and 80,196.75

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Solution

The third proportional to 36,909 and 80,196.75 is: 174,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909 : 80,196.75 = 80,196.75 : x
  2. Step 2: Convert to fraction form
    36,909/80,196.75 = 80,196.75/x
  3. Step 3: Cross multiply
    36,909x = 80,196.75 × 80,196.75
  4. Step 4: Simplify right side
    36,909x = 6,431,518,710.56
  5. Step 5: Solve for x
    x = 6,431,518,710.56/36,909
  6. Step 6: Final answer
    x = 174,253.40

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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.