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Finding the Third Proportional to 139,245.75 and 209,174.75

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Solution

The third proportional to 139,245.75 and 209,174.75 is: 314,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,245.75 : 209,174.75 = 209,174.75 : x
  2. Step 2: Convert to fraction form
    139,245.75/209,174.75 = 209,174.75/x
  3. Step 3: Cross multiply
    139,245.75x = 209,174.75 × 209,174.75
  4. Step 4: Simplify right side
    139,245.75x = 43,754,076,037.56
  5. Step 5: Solve for x
    x = 43,754,076,037.56/139,245.75
  6. Step 6: Final answer
    x = 314,221.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.