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Finding the Third Proportional to 85,477 and 132,696

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Solution

The third proportional to 85,477 and 132,696 is: 205,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,477 : 132,696 = 132,696 : x
  2. Step 2: Convert to fraction form
    85,477/132,696 = 132,696/x
  3. Step 3: Cross multiply
    85,477x = 132,696 × 132,696
  4. Step 4: Simplify right side
    85,477x = 17,608,228,416
  5. Step 5: Solve for x
    x = 17,608,228,416/85,477
  6. Step 6: Final answer
    x = 205,999.61

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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.