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Finding the Third Proportional to 47,200 and 100,544

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Solution

The third proportional to 47,200 and 100,544 is: 214,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200 : 100,544 = 100,544 : x
  2. Step 2: Convert to fraction form
    47,200/100,544 = 100,544/x
  3. Step 3: Cross multiply
    47,200x = 100,544 × 100,544
  4. Step 4: Simplify right side
    47,200x = 10,109,095,936
  5. Step 5: Solve for x
    x = 10,109,095,936/47,200
  6. Step 6: Final answer
    x = 214,175.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.