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Finding the Third Proportional to 81,381 and 184,029

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Solution

The third proportional to 81,381 and 184,029 is: 416,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,381 : 184,029 = 184,029 : x
  2. Step 2: Convert to fraction form
    81,381/184,029 = 184,029/x
  3. Step 3: Cross multiply
    81,381x = 184,029 × 184,029
  4. Step 4: Simplify right side
    81,381x = 33,866,672,841
  5. Step 5: Solve for x
    x = 33,866,672,841/81,381
  6. Step 6: Final answer
    x = 416,149.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.