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Finding the Third Proportional to 50,391 and 108,558

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Solution

The third proportional to 50,391 and 108,558 is: 233,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,391 : 108,558 = 108,558 : x
  2. Step 2: Convert to fraction form
    50,391/108,558 = 108,558/x
  3. Step 3: Cross multiply
    50,391x = 108,558 × 108,558
  4. Step 4: Simplify right side
    50,391x = 11,784,839,364
  5. Step 5: Solve for x
    x = 11,784,839,364/50,391
  6. Step 6: Final answer
    x = 233,867.94

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