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Finding the Third Proportional to 31,516 and 69,244

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Solution

The third proportional to 31,516 and 69,244 is: 152,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516 : 69,244 = 69,244 : x
  2. Step 2: Convert to fraction form
    31,516/69,244 = 69,244/x
  3. Step 3: Cross multiply
    31,516x = 69,244 × 69,244
  4. Step 4: Simplify right side
    31,516x = 4,794,731,536
  5. Step 5: Solve for x
    x = 4,794,731,536/31,516
  6. Step 6: Final answer
    x = 152,136.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.