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Finding the Third Proportional to 31,560.57 and 68,768.05

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Solution

The third proportional to 31,560.57 and 68,768.05 is: 149,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.57 : 68,768.05 = 68,768.05 : x
  2. Step 2: Convert to fraction form
    31,560.57/68,768.05 = 68,768.05/x
  3. Step 3: Cross multiply
    31,560.57x = 68,768.05 × 68,768.05
  4. Step 4: Simplify right side
    31,560.57x = 4,729,044,808.25
  5. Step 5: Solve for x
    x = 4,729,044,808.25/31,560.57
  6. Step 6: Final answer
    x = 149,840.27

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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.