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Finding the Third Proportional to 47,259 and 73,183.50

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Solution

The third proportional to 47,259 and 73,183.50 is: 113,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,259 : 73,183.50 = 73,183.50 : x
  2. Step 2: Convert to fraction form
    47,259/73,183.50 = 73,183.50/x
  3. Step 3: Cross multiply
    47,259x = 73,183.50 × 73,183.50
  4. Step 4: Simplify right side
    47,259x = 5,355,824,672.25
  5. Step 5: Solve for x
    x = 5,355,824,672.25/47,259
  6. Step 6: Final answer
    x = 113,329.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.