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Finding the Third Proportional to 41,536 and 88,192

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Solution

The third proportional to 41,536 and 88,192 is: 187,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 88,192 = 88,192 : x
  2. Step 2: Convert to fraction form
    41,536/88,192 = 88,192/x
  3. Step 3: Cross multiply
    41,536x = 88,192 × 88,192
  4. Step 4: Simplify right side
    41,536x = 7,777,828,864
  5. Step 5: Solve for x
    x = 7,777,828,864/41,536
  6. Step 6: Final answer
    x = 187,255.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.