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Finding the Third Proportional to 47,279 and 73,308

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Solution

The third proportional to 47,279 and 73,308 is: 113,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,279 : 73,308 = 73,308 : x
  2. Step 2: Convert to fraction form
    47,279/73,308 = 73,308/x
  3. Step 3: Cross multiply
    47,279x = 73,308 × 73,308
  4. Step 4: Simplify right side
    47,279x = 5,374,062,864
  5. Step 5: Solve for x
    x = 5,374,062,864/47,279
  6. Step 6: Final answer
    x = 113,667.02

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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.