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Finding the Third Proportional to 71,211 and 110,704

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Solution

The third proportional to 71,211 and 110,704 is: 172,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,211 : 110,704 = 110,704 : x
  2. Step 2: Convert to fraction form
    71,211/110,704 = 110,704/x
  3. Step 3: Cross multiply
    71,211x = 110,704 × 110,704
  4. Step 4: Simplify right side
    71,211x = 12,255,375,616
  5. Step 5: Solve for x
    x = 12,255,375,616/71,211
  6. Step 6: Final answer
    x = 172,099.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.