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Finding the Third Proportional to 50,638 and 109,058

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Solution

The third proportional to 50,638 and 109,058 is: 234,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,638 : 109,058 = 109,058 : x
  2. Step 2: Convert to fraction form
    50,638/109,058 = 109,058/x
  3. Step 3: Cross multiply
    50,638x = 109,058 × 109,058
  4. Step 4: Simplify right side
    50,638x = 11,893,647,364
  5. Step 5: Solve for x
    x = 11,893,647,364/50,638
  6. Step 6: Final answer
    x = 234,875.93

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Why These Related Problems?

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