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Finding the Third Proportional to 47,642 and 104,170

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Solution

The third proportional to 47,642 and 104,170 is: 227,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642 : 104,170 = 104,170 : x
  2. Step 2: Convert to fraction form
    47,642/104,170 = 104,170/x
  3. Step 3: Cross multiply
    47,642x = 104,170 × 104,170
  4. Step 4: Simplify right side
    47,642x = 10,851,388,900
  5. Step 5: Solve for x
    x = 10,851,388,900/47,642
  6. Step 6: Final answer
    x = 227,769.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.