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Finding the Third Proportional to 70,226 and 151,812

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Solution

The third proportional to 70,226 and 151,812 is: 328,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,226 : 151,812 = 151,812 : x
  2. Step 2: Convert to fraction form
    70,226/151,812 = 151,812/x
  3. Step 3: Cross multiply
    70,226x = 151,812 × 151,812
  4. Step 4: Simplify right side
    70,226x = 23,046,883,344
  5. Step 5: Solve for x
    x = 23,046,883,344/70,226
  6. Step 6: Final answer
    x = 328,181.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.