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Finding the Third Proportional to 71,230 and 110,734

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Solution

The third proportional to 71,230 and 110,734 is: 172,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,230 : 110,734 = 110,734 : x
  2. Step 2: Convert to fraction form
    71,230/110,734 = 110,734/x
  3. Step 3: Cross multiply
    71,230x = 110,734 × 110,734
  4. Step 4: Simplify right side
    71,230x = 12,262,018,756
  5. Step 5: Solve for x
    x = 12,262,018,756/71,230
  6. Step 6: Final answer
    x = 172,146.83

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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.