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Finding the Third Proportional to 71,424 and 150,800

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Solution

The third proportional to 71,424 and 150,800 is: 318,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 150,800 = 150,800 : x
  2. Step 2: Convert to fraction form
    71,424/150,800 = 150,800/x
  3. Step 3: Cross multiply
    71,424x = 150,800 × 150,800
  4. Step 4: Simplify right side
    71,424x = 22,740,640,000
  5. Step 5: Solve for x
    x = 22,740,640,000/71,424
  6. Step 6: Final answer
    x = 318,389.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.