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Finding the Third Proportional to 37,183.88 and 72,499.50

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Solution

The third proportional to 37,183.88 and 72,499.50 is: 141,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.88 : 72,499.50 = 72,499.50 : x
  2. Step 2: Convert to fraction form
    37,183.88/72,499.50 = 72,499.50/x
  3. Step 3: Cross multiply
    37,183.88x = 72,499.50 × 72,499.50
  4. Step 4: Simplify right side
    37,183.88x = 5,256,177,500.25
  5. Step 5: Solve for x
    x = 5,256,177,500.25/37,183.88
  6. Step 6: Final answer
    x = 141,356.37

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.