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Finding the Third Proportional to 36,400 and 80,117

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Solution

The third proportional to 36,400 and 80,117 is: 176,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400 : 80,117 = 80,117 : x
  2. Step 2: Convert to fraction form
    36,400/80,117 = 80,117/x
  3. Step 3: Cross multiply
    36,400x = 80,117 × 80,117
  4. Step 4: Simplify right side
    36,400x = 6,418,733,689
  5. Step 5: Solve for x
    x = 6,418,733,689/36,400
  6. Step 6: Final answer
    x = 176,338.84

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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.