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Finding the Third Proportional to 50,058 and 108,378

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Solution

The third proportional to 50,058 and 108,378 is: 234,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,058 : 108,378 = 108,378 : x
  2. Step 2: Convert to fraction form
    50,058/108,378 = 108,378/x
  3. Step 3: Cross multiply
    50,058x = 108,378 × 108,378
  4. Step 4: Simplify right side
    50,058x = 11,745,790,884
  5. Step 5: Solve for x
    x = 11,745,790,884/50,058
  6. Step 6: Final answer
    x = 234,643.63

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Why These Related Problems?

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