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Finding the Third Proportional to 70,425 and 151,098

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Solution

The third proportional to 70,425 and 151,098 is: 324,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425 : 151,098 = 151,098 : x
  2. Step 2: Convert to fraction form
    70,425/151,098 = 151,098/x
  3. Step 3: Cross multiply
    70,425x = 151,098 × 151,098
  4. Step 4: Simplify right side
    70,425x = 22,830,605,604
  5. Step 5: Solve for x
    x = 22,830,605,604/70,425
  6. Step 6: Final answer
    x = 324,183.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.