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Finding the Third Proportional to 47,652 and 73,152

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Solution

The third proportional to 47,652 and 73,152 is: 112,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 73,152 = 73,152 : x
  2. Step 2: Convert to fraction form
    47,652/73,152 = 73,152/x
  3. Step 3: Cross multiply
    47,652x = 73,152 × 73,152
  4. Step 4: Simplify right side
    47,652x = 5,351,215,104
  5. Step 5: Solve for x
    x = 5,351,215,104/47,652
  6. Step 6: Final answer
    x = 112,297.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.