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Finding the Third Proportional to 52,086 and 78,859

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Solution

The third proportional to 52,086 and 78,859 is: 119,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086 : 78,859 = 78,859 : x
  2. Step 2: Convert to fraction form
    52,086/78,859 = 78,859/x
  3. Step 3: Cross multiply
    52,086x = 78,859 × 78,859
  4. Step 4: Simplify right side
    52,086x = 6,218,741,881
  5. Step 5: Solve for x
    x = 6,218,741,881/52,086
  6. Step 6: Final answer
    x = 119,393.73

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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.