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Finding the Third Proportional to 48,373 and 73,949

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Solution

The third proportional to 48,373 and 73,949 is: 113,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,373 : 73,949 = 73,949 : x
  2. Step 2: Convert to fraction form
    48,373/73,949 = 73,949/x
  3. Step 3: Cross multiply
    48,373x = 73,949 × 73,949
  4. Step 4: Simplify right side
    48,373x = 5,468,454,601
  5. Step 5: Solve for x
    x = 5,468,454,601/48,373
  6. Step 6: Final answer
    x = 113,047.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.