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Finding the Third Proportional to 52,876 and 81,832

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Solution

The third proportional to 52,876 and 81,832 is: 126,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,876 : 81,832 = 81,832 : x
  2. Step 2: Convert to fraction form
    52,876/81,832 = 81,832/x
  3. Step 3: Cross multiply
    52,876x = 81,832 × 81,832
  4. Step 4: Simplify right side
    52,876x = 6,696,476,224
  5. Step 5: Solve for x
    x = 6,696,476,224/52,876
  6. Step 6: Final answer
    x = 126,644.91

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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.