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Finding the Third Proportional to 50,956 and 67,960

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Solution

The third proportional to 50,956 and 67,960 is: 90,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956 : 67,960 = 67,960 : x
  2. Step 2: Convert to fraction form
    50,956/67,960 = 67,960/x
  3. Step 3: Cross multiply
    50,956x = 67,960 × 67,960
  4. Step 4: Simplify right side
    50,956x = 4,618,561,600
  5. Step 5: Solve for x
    x = 4,618,561,600/50,956
  6. Step 6: Final answer
    x = 90,638.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.