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Finding the Third Proportional to 41,132 and 88,512

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Solution

The third proportional to 41,132 and 88,512 is: 190,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,132 : 88,512 = 88,512 : x
  2. Step 2: Convert to fraction form
    41,132/88,512 = 88,512/x
  3. Step 3: Cross multiply
    41,132x = 88,512 × 88,512
  4. Step 4: Simplify right side
    41,132x = 7,834,374,144
  5. Step 5: Solve for x
    x = 7,834,374,144/41,132
  6. Step 6: Final answer
    x = 190,469.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.