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Finding the Third Proportional to 82,771 and 128,138

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Solution

The third proportional to 82,771 and 128,138 is: 198,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771 : 128,138 = 128,138 : x
  2. Step 2: Convert to fraction form
    82,771/128,138 = 128,138/x
  3. Step 3: Cross multiply
    82,771x = 128,138 × 128,138
  4. Step 4: Simplify right side
    82,771x = 16,419,347,044
  5. Step 5: Solve for x
    x = 16,419,347,044/82,771
  6. Step 6: Final answer
    x = 198,370.77

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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.