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Finding the Third Proportional to 50,754 and 74,472

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Solution

The third proportional to 50,754 and 74,472 is: 109,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,754 : 74,472 = 74,472 : x
  2. Step 2: Convert to fraction form
    50,754/74,472 = 74,472/x
  3. Step 3: Cross multiply
    50,754x = 74,472 × 74,472
  4. Step 4: Simplify right side
    50,754x = 5,546,078,784
  5. Step 5: Solve for x
    x = 5,546,078,784/50,754
  6. Step 6: Final answer
    x = 109,273.73

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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.