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Finding the Third Proportional to 36,996 and 80,902

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Solution

The third proportional to 36,996 and 80,902 is: 176,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996 : 80,902 = 80,902 : x
  2. Step 2: Convert to fraction form
    36,996/80,902 = 80,902/x
  3. Step 3: Cross multiply
    36,996x = 80,902 × 80,902
  4. Step 4: Simplify right side
    36,996x = 6,545,133,604
  5. Step 5: Solve for x
    x = 6,545,133,604/36,996
  6. Step 6: Final answer
    x = 176,914.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.