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Finding the Third Proportional to 85,886 and 129,771

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Solution

The third proportional to 85,886 and 129,771 is: 196,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,886 : 129,771 = 129,771 : x
  2. Step 2: Convert to fraction form
    85,886/129,771 = 129,771/x
  3. Step 3: Cross multiply
    85,886x = 129,771 × 129,771
  4. Step 4: Simplify right side
    85,886x = 16,840,512,441
  5. Step 5: Solve for x
    x = 16,840,512,441/85,886
  6. Step 6: Final answer
    x = 196,079.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.