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Finding the Third Proportional to 50,328 and 107,028

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Solution

The third proportional to 50,328 and 107,028 is: 227,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,328 : 107,028 = 107,028 : x
  2. Step 2: Convert to fraction form
    50,328/107,028 = 107,028/x
  3. Step 3: Cross multiply
    50,328x = 107,028 × 107,028
  4. Step 4: Simplify right side
    50,328x = 11,454,992,784
  5. Step 5: Solve for x
    x = 11,454,992,784/50,328
  6. Step 6: Final answer
    x = 227,606.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.