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Finding the Third Proportional to 31,230.56 and 68,004.56

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Solution

The third proportional to 31,230.56 and 68,004.56 is: 148,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.56 : 68,004.56 = 68,004.56 : x
  2. Step 2: Convert to fraction form
    31,230.56/68,004.56 = 68,004.56/x
  3. Step 3: Cross multiply
    31,230.56x = 68,004.56 × 68,004.56
  4. Step 4: Simplify right side
    31,230.56x = 4,624,620,520.82
  5. Step 5: Solve for x
    x = 4,624,620,520.82/31,230.56
  6. Step 6: Final answer
    x = 148,079.96

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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.