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Finding the Third Proportional to 110,079 and 154,021.50

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Solution

The third proportional to 110,079 and 154,021.50 is: 215,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,079 : 154,021.50 = 154,021.50 : x
  2. Step 2: Convert to fraction form
    110,079/154,021.50 = 154,021.50/x
  3. Step 3: Cross multiply
    110,079x = 154,021.50 × 154,021.50
  4. Step 4: Simplify right side
    110,079x = 23,722,622,462.25
  5. Step 5: Solve for x
    x = 23,722,622,462.25/110,079
  6. Step 6: Final answer
    x = 215,505.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.