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Finding the Third Proportional to 50,066 and 69,996

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Solution

The third proportional to 50,066 and 69,996 is: 97,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066 : 69,996 = 69,996 : x
  2. Step 2: Convert to fraction form
    50,066/69,996 = 69,996/x
  3. Step 3: Cross multiply
    50,066x = 69,996 × 69,996
  4. Step 4: Simplify right side
    50,066x = 4,899,440,016
  5. Step 5: Solve for x
    x = 4,899,440,016/50,066
  6. Step 6: Final answer
    x = 97,859.63

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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.