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Finding the Third Proportional to 71,714 and 151,636

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Solution

The third proportional to 71,714 and 151,636 is: 320,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,714 : 151,636 = 151,636 : x
  2. Step 2: Convert to fraction form
    71,714/151,636 = 151,636/x
  3. Step 3: Cross multiply
    71,714x = 151,636 × 151,636
  4. Step 4: Simplify right side
    71,714x = 22,993,476,496
  5. Step 5: Solve for x
    x = 22,993,476,496/71,714
  6. Step 6: Final answer
    x = 320,627.44

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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.