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Finding the Third Proportional to 52,884 and 79,866

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Solution

The third proportional to 52,884 and 79,866 is: 120,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884 : 79,866 = 79,866 : x
  2. Step 2: Convert to fraction form
    52,884/79,866 = 79,866/x
  3. Step 3: Cross multiply
    52,884x = 79,866 × 79,866
  4. Step 4: Simplify right side
    52,884x = 6,378,577,956
  5. Step 5: Solve for x
    x = 6,378,577,956/52,884
  6. Step 6: Final answer
    x = 120,614.51

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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.