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Finding the Third Proportional to 50,771 and 74,424

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Solution

The third proportional to 50,771 and 74,424 is: 109,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771 : 74,424 = 74,424 : x
  2. Step 2: Convert to fraction form
    50,771/74,424 = 74,424/x
  3. Step 3: Cross multiply
    50,771x = 74,424 × 74,424
  4. Step 4: Simplify right side
    50,771x = 5,538,931,776
  5. Step 5: Solve for x
    x = 5,538,931,776/50,771
  6. Step 6: Final answer
    x = 109,096.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.