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Finding the Third Proportional to 69,213.63 and 106,105.38

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Solution

The third proportional to 69,213.63 and 106,105.38 is: 162,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,213.63 : 106,105.38 = 106,105.38 : x
  2. Step 2: Convert to fraction form
    69,213.63/106,105.38 = 106,105.38/x
  3. Step 3: Cross multiply
    69,213.63x = 106,105.38 × 106,105.38
  4. Step 4: Simplify right side
    69,213.63x = 11,258,350,603.89
  5. Step 5: Solve for x
    x = 11,258,350,603.89/69,213.63
  6. Step 6: Final answer
    x = 162,660.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.