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Finding the Third Proportional to 31,973 and 50,156

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Solution

The third proportional to 31,973 and 50,156 is: 78,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973 : 50,156 = 50,156 : x
  2. Step 2: Convert to fraction form
    31,973/50,156 = 50,156/x
  3. Step 3: Cross multiply
    31,973x = 50,156 × 50,156
  4. Step 4: Simplify right side
    31,973x = 2,515,624,336
  5. Step 5: Solve for x
    x = 2,515,624,336/31,973
  6. Step 6: Final answer
    x = 78,679.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.