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Finding the Third Proportional to 84,161 and 125,512

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Solution

The third proportional to 84,161 and 125,512 is: 187,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,161 : 125,512 = 125,512 : x
  2. Step 2: Convert to fraction form
    84,161/125,512 = 125,512/x
  3. Step 3: Cross multiply
    84,161x = 125,512 × 125,512
  4. Step 4: Simplify right side
    84,161x = 15,753,262,144
  5. Step 5: Solve for x
    x = 15,753,262,144/84,161
  6. Step 6: Final answer
    x = 187,180.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.