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Finding the Third Proportional to 47,318 and 73,255.50

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Solution

The third proportional to 47,318 and 73,255.50 is: 113,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,318 : 73,255.50 = 73,255.50 : x
  2. Step 2: Convert to fraction form
    47,318/73,255.50 = 73,255.50/x
  3. Step 3: Cross multiply
    47,318x = 73,255.50 × 73,255.50
  4. Step 4: Simplify right side
    47,318x = 5,366,368,280.25
  5. Step 5: Solve for x
    x = 5,366,368,280.25/47,318
  6. Step 6: Final answer
    x = 113,410.72

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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.