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Finding the Third Proportional to 49,563 and 74,359.41

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Solution

The third proportional to 49,563 and 74,359.41 is: 111,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563 : 74,359.41 = 74,359.41 : x
  2. Step 2: Convert to fraction form
    49,563/74,359.41 = 74,359.41/x
  3. Step 3: Cross multiply
    49,563x = 74,359.41 × 74,359.41
  4. Step 4: Simplify right side
    49,563x = 5,529,321,297.85
  5. Step 5: Solve for x
    x = 5,529,321,297.85/49,563
  6. Step 6: Final answer
    x = 111,561.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.