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Finding the Third Proportional to 85,876 and 126,243

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Solution

The third proportional to 85,876 and 126,243 is: 185,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,876 : 126,243 = 126,243 : x
  2. Step 2: Convert to fraction form
    85,876/126,243 = 126,243/x
  3. Step 3: Cross multiply
    85,876x = 126,243 × 126,243
  4. Step 4: Simplify right side
    85,876x = 15,937,295,049
  5. Step 5: Solve for x
    x = 15,937,295,049/85,876
  6. Step 6: Final answer
    x = 185,584.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.