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Finding the Third Proportional to 109,760.06 and 122,745.38

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Solution

The third proportional to 109,760.06 and 122,745.38 is: 137,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,760.06 : 122,745.38 = 122,745.38 : x
  2. Step 2: Convert to fraction form
    109,760.06/122,745.38 = 122,745.38/x
  3. Step 3: Cross multiply
    109,760.06x = 122,745.38 × 122,745.38
  4. Step 4: Simplify right side
    109,760.06x = 15,066,427,083.89
  5. Step 5: Solve for x
    x = 15,066,427,083.89/109,760.06
  6. Step 6: Final answer
    x = 137,266.93

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.