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Finding the Third Proportional to 71,396.44 and 169,150.78

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Solution

The third proportional to 71,396.44 and 169,150.78 is: 400,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396.44 : 169,150.78 = 169,150.78 : x
  2. Step 2: Convert to fraction form
    71,396.44/169,150.78 = 169,150.78/x
  3. Step 3: Cross multiply
    71,396.44x = 169,150.78 × 169,150.78
  4. Step 4: Simplify right side
    71,396.44x = 28,611,986,797.49
  5. Step 5: Solve for x
    x = 28,611,986,797.49/71,396.44
  6. Step 6: Final answer
    x = 400,748.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.