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Finding the Third Proportional to 50,661 and 74,037.38

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Solution

The third proportional to 50,661 and 74,037.38 is: 108,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,661 : 74,037.38 = 74,037.38 : x
  2. Step 2: Convert to fraction form
    50,661/74,037.38 = 74,037.38/x
  3. Step 3: Cross multiply
    50,661x = 74,037.38 × 74,037.38
  4. Step 4: Simplify right side
    50,661x = 5,481,532,896.89
  5. Step 5: Solve for x
    x = 5,481,532,896.89/50,661
  6. Step 6: Final answer
    x = 108,200.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.