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Finding the Third Proportional to 47,733 and 103,668

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Solution

The third proportional to 47,733 and 103,668 is: 225,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,733 : 103,668 = 103,668 : x
  2. Step 2: Convert to fraction form
    47,733/103,668 = 103,668/x
  3. Step 3: Cross multiply
    47,733x = 103,668 × 103,668
  4. Step 4: Simplify right side
    47,733x = 10,747,054,224
  5. Step 5: Solve for x
    x = 10,747,054,224/47,733
  6. Step 6: Final answer
    x = 225,149.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.