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Finding the Third Proportional to 50,893 and 109,322

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Solution

The third proportional to 50,893 and 109,322 is: 234,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,893 : 109,322 = 109,322 : x
  2. Step 2: Convert to fraction form
    50,893/109,322 = 109,322/x
  3. Step 3: Cross multiply
    50,893x = 109,322 × 109,322
  4. Step 4: Simplify right side
    50,893x = 11,951,299,684
  5. Step 5: Solve for x
    x = 11,951,299,684/50,893
  6. Step 6: Final answer
    x = 234,831.90

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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.