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Finding the Third Proportional to 85,896 and 131,394

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Solution

The third proportional to 85,896 and 131,394 is: 200,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896 : 131,394 = 131,394 : x
  2. Step 2: Convert to fraction form
    85,896/131,394 = 131,394/x
  3. Step 3: Cross multiply
    85,896x = 131,394 × 131,394
  4. Step 4: Simplify right side
    85,896x = 17,264,383,236
  5. Step 5: Solve for x
    x = 17,264,383,236/85,896
  6. Step 6: Final answer
    x = 200,991.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.