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Finding the Third Proportional to 31,818 and 69,172

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Solution

The third proportional to 31,818 and 69,172 is: 150,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818 : 69,172 = 69,172 : x
  2. Step 2: Convert to fraction form
    31,818/69,172 = 69,172/x
  3. Step 3: Cross multiply
    31,818x = 69,172 × 69,172
  4. Step 4: Simplify right side
    31,818x = 4,784,765,584
  5. Step 5: Solve for x
    x = 4,784,765,584/31,818
  6. Step 6: Final answer
    x = 150,379.21

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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.