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Finding the Third Proportional to 50,932 and 109,388

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Solution

The third proportional to 50,932 and 109,388 is: 234,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,932 : 109,388 = 109,388 : x
  2. Step 2: Convert to fraction form
    50,932/109,388 = 109,388/x
  3. Step 3: Cross multiply
    50,932x = 109,388 × 109,388
  4. Step 4: Simplify right side
    50,932x = 11,965,734,544
  5. Step 5: Solve for x
    x = 11,965,734,544/50,932
  6. Step 6: Final answer
    x = 234,935.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.