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Finding the Third Proportional to 85,837 and 132,907

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Solution

The third proportional to 85,837 and 132,907 is: 205,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,837 : 132,907 = 132,907 : x
  2. Step 2: Convert to fraction form
    85,837/132,907 = 132,907/x
  3. Step 3: Cross multiply
    85,837x = 132,907 × 132,907
  4. Step 4: Simplify right side
    85,837x = 17,664,270,649
  5. Step 5: Solve for x
    x = 17,664,270,649/85,837
  6. Step 6: Final answer
    x = 205,788.54

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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.