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Finding the Third Proportional to 50,548 and 109,458

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Solution

The third proportional to 50,548 and 109,458 is: 237,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,548 : 109,458 = 109,458 : x
  2. Step 2: Convert to fraction form
    50,548/109,458 = 109,458/x
  3. Step 3: Cross multiply
    50,548x = 109,458 × 109,458
  4. Step 4: Simplify right side
    50,548x = 11,981,053,764
  5. Step 5: Solve for x
    x = 11,981,053,764/50,548
  6. Step 6: Final answer
    x = 237,023.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.