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Finding the Third Proportional to 54,735.75 and 111,673.69

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Solution

The third proportional to 54,735.75 and 111,673.69 is: 227,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,735.75 : 111,673.69 = 111,673.69 : x
  2. Step 2: Convert to fraction form
    54,735.75/111,673.69 = 111,673.69/x
  3. Step 3: Cross multiply
    54,735.75x = 111,673.69 × 111,673.69
  4. Step 4: Simplify right side
    54,735.75x = 12,471,012,479.85
  5. Step 5: Solve for x
    x = 12,471,012,479.85/54,735.75
  6. Step 6: Final answer
    x = 227,840.35

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.