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Finding the Third Proportional to 42,309.75 and 90,450.75

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Solution

The third proportional to 42,309.75 and 90,450.75 is: 193,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,309.75 : 90,450.75 = 90,450.75 : x
  2. Step 2: Convert to fraction form
    42,309.75/90,450.75 = 90,450.75/x
  3. Step 3: Cross multiply
    42,309.75x = 90,450.75 × 90,450.75
  4. Step 4: Simplify right side
    42,309.75x = 8,181,338,175.56
  5. Step 5: Solve for x
    x = 8,181,338,175.56/42,309.75
  6. Step 6: Final answer
    x = 193,367.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.