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Finding the Third Proportional to 36,276 and 79,911

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Solution

The third proportional to 36,276 and 79,911 is: 176,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,276 : 79,911 = 79,911 : x
  2. Step 2: Convert to fraction form
    36,276/79,911 = 79,911/x
  3. Step 3: Cross multiply
    36,276x = 79,911 × 79,911
  4. Step 4: Simplify right side
    36,276x = 6,385,767,921
  5. Step 5: Solve for x
    x = 6,385,767,921/36,276
  6. Step 6: Final answer
    x = 176,032.86

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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.