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Finding the Third Proportional to 71,338 and 150,632

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Solution

The third proportional to 71,338 and 150,632 is: 318,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338 : 150,632 = 150,632 : x
  2. Step 2: Convert to fraction form
    71,338/150,632 = 150,632/x
  3. Step 3: Cross multiply
    71,338x = 150,632 × 150,632
  4. Step 4: Simplify right side
    71,338x = 22,689,999,424
  5. Step 5: Solve for x
    x = 22,689,999,424/71,338
  6. Step 6: Final answer
    x = 318,063.30

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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.