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Finding the Third Proportional to 50,760 and 70,965

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Solution

The third proportional to 50,760 and 70,965 is: 99,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,760 : 70,965 = 70,965 : x
  2. Step 2: Convert to fraction form
    50,760/70,965 = 70,965/x
  3. Step 3: Cross multiply
    50,760x = 70,965 × 70,965
  4. Step 4: Simplify right side
    50,760x = 5,036,031,225
  5. Step 5: Solve for x
    x = 5,036,031,225/50,760
  6. Step 6: Final answer
    x = 99,212.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.