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Finding the Third Proportional to 49,145 and 73,965.50

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Solution

The third proportional to 49,145 and 73,965.50 is: 111,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,145 : 73,965.50 = 73,965.50 : x
  2. Step 2: Convert to fraction form
    49,145/73,965.50 = 73,965.50/x
  3. Step 3: Cross multiply
    49,145x = 73,965.50 × 73,965.50
  4. Step 4: Simplify right side
    49,145x = 5,470,895,190.25
  5. Step 5: Solve for x
    x = 5,470,895,190.25/49,145
  6. Step 6: Final answer
    x = 111,321.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.