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Finding the Third Proportional to 31,576 and 68,912

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Solution

The third proportional to 31,576 and 68,912 is: 150,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576 : 68,912 = 68,912 : x
  2. Step 2: Convert to fraction form
    31,576/68,912 = 68,912/x
  3. Step 3: Cross multiply
    31,576x = 68,912 × 68,912
  4. Step 4: Simplify right side
    31,576x = 4,748,863,744
  5. Step 5: Solve for x
    x = 4,748,863,744/31,576
  6. Step 6: Final answer
    x = 150,394.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.