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Finding the Third Proportional to 85,881 and 129,761

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Solution

The third proportional to 85,881 and 129,761 is: 196,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881 : 129,761 = 129,761 : x
  2. Step 2: Convert to fraction form
    85,881/129,761 = 129,761/x
  3. Step 3: Cross multiply
    85,881x = 129,761 × 129,761
  4. Step 4: Simplify right side
    85,881x = 16,837,917,121
  5. Step 5: Solve for x
    x = 16,837,917,121/85,881
  6. Step 6: Final answer
    x = 196,061.03

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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.