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Finding the Third Proportional to 101,504 and 151,851

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Solution

The third proportional to 101,504 and 151,851 is: 227,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,504 : 151,851 = 151,851 : x
  2. Step 2: Convert to fraction form
    101,504/151,851 = 151,851/x
  3. Step 3: Cross multiply
    101,504x = 151,851 × 151,851
  4. Step 4: Simplify right side
    101,504x = 23,058,726,201
  5. Step 5: Solve for x
    x = 23,058,726,201/101,504
  6. Step 6: Final answer
    x = 227,170.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.