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Finding the Third Proportional to 36,253 and 80,282

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Solution

The third proportional to 36,253 and 80,282 is: 177,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,253 : 80,282 = 80,282 : x
  2. Step 2: Convert to fraction form
    36,253/80,282 = 80,282/x
  3. Step 3: Cross multiply
    36,253x = 80,282 × 80,282
  4. Step 4: Simplify right side
    36,253x = 6,445,199,524
  5. Step 5: Solve for x
    x = 6,445,199,524/36,253
  6. Step 6: Final answer
    x = 177,783.89

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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.