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Finding the Third Proportional to 85,877 and 188,881

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Solution

The third proportional to 85,877 and 188,881 is: 415,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,877 : 188,881 = 188,881 : x
  2. Step 2: Convert to fraction form
    85,877/188,881 = 188,881/x
  3. Step 3: Cross multiply
    85,877x = 188,881 × 188,881
  4. Step 4: Simplify right side
    85,877x = 35,676,032,161
  5. Step 5: Solve for x
    x = 35,676,032,161/85,877
  6. Step 6: Final answer
    x = 415,431.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.