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Finding the Third Proportional to 50,118 and 116,543

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Solution

The third proportional to 50,118 and 116,543 is: 271,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,118 : 116,543 = 116,543 : x
  2. Step 2: Convert to fraction form
    50,118/116,543 = 116,543/x
  3. Step 3: Cross multiply
    50,118x = 116,543 × 116,543
  4. Step 4: Simplify right side
    50,118x = 13,582,270,849
  5. Step 5: Solve for x
    x = 13,582,270,849/50,118
  6. Step 6: Final answer
    x = 271,005.84

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.