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Finding the Third Proportional to 31,162 and 67,610

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Solution

The third proportional to 31,162 and 67,610 is: 146,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162 : 67,610 = 67,610 : x
  2. Step 2: Convert to fraction form
    31,162/67,610 = 67,610/x
  3. Step 3: Cross multiply
    31,162x = 67,610 × 67,610
  4. Step 4: Simplify right side
    31,162x = 4,571,112,100
  5. Step 5: Solve for x
    x = 4,571,112,100/31,162
  6. Step 6: Final answer
    x = 146,688.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.