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Finding the Third Proportional to 36,323 and 79,981

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Solution

The third proportional to 36,323 and 79,981 is: 176,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,323 : 79,981 = 79,981 : x
  2. Step 2: Convert to fraction form
    36,323/79,981 = 79,981/x
  3. Step 3: Cross multiply
    36,323x = 79,981 × 79,981
  4. Step 4: Simplify right side
    36,323x = 6,396,960,361
  5. Step 5: Solve for x
    x = 6,396,960,361/36,323
  6. Step 6: Final answer
    x = 176,113.22

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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.