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Finding the Third Proportional to 31,288.50 and 68,105.25

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Solution

The third proportional to 31,288.50 and 68,105.25 is: 148,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.50 : 68,105.25 = 68,105.25 : x
  2. Step 2: Convert to fraction form
    31,288.50/68,105.25 = 68,105.25/x
  3. Step 3: Cross multiply
    31,288.50x = 68,105.25 × 68,105.25
  4. Step 4: Simplify right side
    31,288.50x = 4,638,325,077.56
  5. Step 5: Solve for x
    x = 4,638,325,077.56/31,288.50
  6. Step 6: Final answer
    x = 148,243.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.