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Finding the Third Proportional to 47,276 and 73,191

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Solution

The third proportional to 47,276 and 73,191 is: 113,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,276 : 73,191 = 73,191 : x
  2. Step 2: Convert to fraction form
    47,276/73,191 = 73,191/x
  3. Step 3: Cross multiply
    47,276x = 73,191 × 73,191
  4. Step 4: Simplify right side
    47,276x = 5,356,922,481
  5. Step 5: Solve for x
    x = 5,356,922,481/47,276
  6. Step 6: Final answer
    x = 113,311.67

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Why These Related Problems?

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