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Finding the Third Proportional to 34,228 and 50,156

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Solution

The third proportional to 34,228 and 50,156 is: 73,496.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228 : 50,156 = 50,156 : x
  2. Step 2: Convert to fraction form
    34,228/50,156 = 50,156/x
  3. Step 3: Cross multiply
    34,228x = 50,156 × 50,156
  4. Step 4: Simplify right side
    34,228x = 2,515,624,336
  5. Step 5: Solve for x
    x = 2,515,624,336/34,228
  6. Step 6: Final answer
    x = 73,496.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.