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Finding the Third Proportional to 90,795 and 150,052.50

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Solution

The third proportional to 90,795 and 150,052.50 is: 247,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,795 : 150,052.50 = 150,052.50 : x
  2. Step 2: Convert to fraction form
    90,795/150,052.50 = 150,052.50/x
  3. Step 3: Cross multiply
    90,795x = 150,052.50 × 150,052.50
  4. Step 4: Simplify right side
    90,795x = 22,515,752,756.25
  5. Step 5: Solve for x
    x = 22,515,752,756.25/90,795
  6. Step 6: Final answer
    x = 247,984.50

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.