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Finding the Third Proportional to 62,796 and 87,837

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Solution

The third proportional to 62,796 and 87,837 is: 122,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,796 : 87,837 = 87,837 : x
  2. Step 2: Convert to fraction form
    62,796/87,837 = 87,837/x
  3. Step 3: Cross multiply
    62,796x = 87,837 × 87,837
  4. Step 4: Simplify right side
    62,796x = 7,715,338,569
  5. Step 5: Solve for x
    x = 7,715,338,569/62,796
  6. Step 6: Final answer
    x = 122,863.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.