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Finding the Third Proportional to 50,993 and 109,371

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Solution

The third proportional to 50,993 and 109,371 is: 234,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,993 : 109,371 = 109,371 : x
  2. Step 2: Convert to fraction form
    50,993/109,371 = 109,371/x
  3. Step 3: Cross multiply
    50,993x = 109,371 × 109,371
  4. Step 4: Simplify right side
    50,993x = 11,962,015,641
  5. Step 5: Solve for x
    x = 11,962,015,641/50,993
  6. Step 6: Final answer
    x = 234,581.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.