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Finding the Third Proportional to 71,224 and 110,722

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Solution

The third proportional to 71,224 and 110,722 is: 172,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224 : 110,722 = 110,722 : x
  2. Step 2: Convert to fraction form
    71,224/110,722 = 110,722/x
  3. Step 3: Cross multiply
    71,224x = 110,722 × 110,722
  4. Step 4: Simplify right side
    71,224x = 12,259,361,284
  5. Step 5: Solve for x
    x = 12,259,361,284/71,224
  6. Step 6: Final answer
    x = 172,124.02

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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.