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Finding the Third Proportional to 92,192 and 126,170

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Solution

The third proportional to 92,192 and 126,170 is: 172,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,192 : 126,170 = 126,170 : x
  2. Step 2: Convert to fraction form
    92,192/126,170 = 126,170/x
  3. Step 3: Cross multiply
    92,192x = 126,170 × 126,170
  4. Step 4: Simplify right side
    92,192x = 15,918,868,900
  5. Step 5: Solve for x
    x = 15,918,868,900/92,192
  6. Step 6: Final answer
    x = 172,670.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.