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Finding the Third Proportional to 84,093 and 126,493.88

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Solution

The third proportional to 84,093 and 126,493.88 is: 190,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093 : 126,493.88 = 126,493.88 : x
  2. Step 2: Convert to fraction form
    84,093/126,493.88 = 126,493.88/x
  3. Step 3: Cross multiply
    84,093x = 126,493.88 × 126,493.88
  4. Step 4: Simplify right side
    84,093x = 16,000,700,412.52
  5. Step 5: Solve for x
    x = 16,000,700,412.52/84,093
  6. Step 6: Final answer
    x = 190,273.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.