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Finding the Third Proportional to 107,512.75 and 150,374.75

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Solution

The third proportional to 107,512.75 and 150,374.75 is: 210,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,512.75 : 150,374.75 = 150,374.75 : x
  2. Step 2: Convert to fraction form
    107,512.75/150,374.75 = 150,374.75/x
  3. Step 3: Cross multiply
    107,512.75x = 150,374.75 × 150,374.75
  4. Step 4: Simplify right side
    107,512.75x = 22,612,565,437.56
  5. Step 5: Solve for x
    x = 22,612,565,437.56/107,512.75
  6. Step 6: Final answer
    x = 210,324.50

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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.