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Finding the Third Proportional to 36,282 and 79,923

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Solution

The third proportional to 36,282 and 79,923 is: 176,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,282 : 79,923 = 79,923 : x
  2. Step 2: Convert to fraction form
    36,282/79,923 = 79,923/x
  3. Step 3: Cross multiply
    36,282x = 79,923 × 79,923
  4. Step 4: Simplify right side
    36,282x = 6,387,685,929
  5. Step 5: Solve for x
    x = 6,387,685,929/36,282
  6. Step 6: Final answer
    x = 176,056.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.