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Finding the Third Proportional to 85,814 and 132,873

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Solution

The third proportional to 85,814 and 132,873 is: 205,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814 : 132,873 = 132,873 : x
  2. Step 2: Convert to fraction form
    85,814/132,873 = 132,873/x
  3. Step 3: Cross multiply
    85,814x = 132,873 × 132,873
  4. Step 4: Simplify right side
    85,814x = 17,655,234,129
  5. Step 5: Solve for x
    x = 17,655,234,129/85,814
  6. Step 6: Final answer
    x = 205,738.39

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Why These Related Problems?

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