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Finding the Third Proportional to 51,009.75 and 111,052.69

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Solution

The third proportional to 51,009.75 and 111,052.69 is: 241,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 111,052.69 = 111,052.69 : x
  2. Step 2: Convert to fraction form
    51,009.75/111,052.69 = 111,052.69/x
  3. Step 3: Cross multiply
    51,009.75x = 111,052.69 × 111,052.69
  4. Step 4: Simplify right side
    51,009.75x = 12,332,699,400.97
  5. Step 5: Solve for x
    x = 12,332,699,400.97/51,009.75
  6. Step 6: Final answer
    x = 241,771.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.