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Finding the Third Proportional to 108,134 and 172,193

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Solution

The third proportional to 108,134 and 172,193 is: 274,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,134 : 172,193 = 172,193 : x
  2. Step 2: Convert to fraction form
    108,134/172,193 = 172,193/x
  3. Step 3: Cross multiply
    108,134x = 172,193 × 172,193
  4. Step 4: Simplify right side
    108,134x = 29,650,429,249
  5. Step 5: Solve for x
    x = 29,650,429,249/108,134
  6. Step 6: Final answer
    x = 274,200.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.