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Finding the Third Proportional to 31,945 and 67,200

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Solution

The third proportional to 31,945 and 67,200 is: 141,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,945 : 67,200 = 67,200 : x
  2. Step 2: Convert to fraction form
    31,945/67,200 = 67,200/x
  3. Step 3: Cross multiply
    31,945x = 67,200 × 67,200
  4. Step 4: Simplify right side
    31,945x = 4,515,840,000
  5. Step 5: Solve for x
    x = 4,515,840,000/31,945
  6. Step 6: Final answer
    x = 141,362.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.