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Finding the Third Proportional to 111,021.75 and 164,619

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Solution

The third proportional to 111,021.75 and 164,619 is: 244,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,021.75 : 164,619 = 164,619 : x
  2. Step 2: Convert to fraction form
    111,021.75/164,619 = 164,619/x
  3. Step 3: Cross multiply
    111,021.75x = 164,619 × 164,619
  4. Step 4: Simplify right side
    111,021.75x = 27,099,415,161
  5. Step 5: Solve for x
    x = 27,099,415,161/111,021.75
  6. Step 6: Final answer
    x = 244,091.05

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.