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Finding the Third Proportional to 111,230 and 172,375

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Solution

The third proportional to 111,230 and 172,375 is: 267,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,230 : 172,375 = 172,375 : x
  2. Step 2: Convert to fraction form
    111,230/172,375 = 172,375/x
  3. Step 3: Cross multiply
    111,230x = 172,375 × 172,375
  4. Step 4: Simplify right side
    111,230x = 29,713,140,625
  5. Step 5: Solve for x
    x = 29,713,140,625/111,230
  6. Step 6: Final answer
    x = 267,132.43

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