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Finding the Third Proportional to 109,821 and 167,051.25

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Solution

The third proportional to 109,821 and 167,051.25 is: 254,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,821 : 167,051.25 = 167,051.25 : x
  2. Step 2: Convert to fraction form
    109,821/167,051.25 = 167,051.25/x
  3. Step 3: Cross multiply
    109,821x = 167,051.25 × 167,051.25
  4. Step 4: Simplify right side
    109,821x = 27,906,120,126.56
  5. Step 5: Solve for x
    x = 27,906,120,126.56/109,821
  6. Step 6: Final answer
    x = 254,105.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.