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Finding the Third Proportional to 81,020.25 and 122,649.82

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Solution

The third proportional to 81,020.25 and 122,649.82 is: 185,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020.25 : 122,649.82 = 122,649.82 : x
  2. Step 2: Convert to fraction form
    81,020.25/122,649.82 = 122,649.82/x
  3. Step 3: Cross multiply
    81,020.25x = 122,649.82 × 122,649.82
  4. Step 4: Simplify right side
    81,020.25x = 15,042,978,422.69
  5. Step 5: Solve for x
    x = 15,042,978,422.69/81,020.25
  6. Step 6: Final answer
    x = 185,669.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.