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Finding the Third Proportional to 110,728.50 and 175,812.75

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Solution

The third proportional to 110,728.50 and 175,812.75 is: 279,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,728.50 : 175,812.75 = 175,812.75 : x
  2. Step 2: Convert to fraction form
    110,728.50/175,812.75 = 175,812.75/x
  3. Step 3: Cross multiply
    110,728.50x = 175,812.75 × 175,812.75
  4. Step 4: Simplify right side
    110,728.50x = 30,910,123,062.56
  5. Step 5: Solve for x
    x = 30,910,123,062.56/110,728.50
  6. Step 6: Final answer
    x = 279,152.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.