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Finding the Third Proportional to 50,250 and 73,980

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Solution

The third proportional to 50,250 and 73,980 is: 108,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,250 : 73,980 = 73,980 : x
  2. Step 2: Convert to fraction form
    50,250/73,980 = 73,980/x
  3. Step 3: Cross multiply
    50,250x = 73,980 × 73,980
  4. Step 4: Simplify right side
    50,250x = 5,473,040,400
  5. Step 5: Solve for x
    x = 5,473,040,400/50,250
  6. Step 6: Final answer
    x = 108,916.23

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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.