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Finding the Third Proportional to 81,745.88 and 123,028.88

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Solution

The third proportional to 81,745.88 and 123,028.88 is: 185,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.88 : 123,028.88 = 123,028.88 : x
  2. Step 2: Convert to fraction form
    81,745.88/123,028.88 = 123,028.88/x
  3. Step 3: Cross multiply
    81,745.88x = 123,028.88 × 123,028.88
  4. Step 4: Simplify right side
    81,745.88x = 15,136,104,083.77
  5. Step 5: Solve for x
    x = 15,136,104,083.77/81,745.88
  6. Step 6: Final answer
    x = 185,160.46

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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.