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Finding the Third Proportional to 70,001 and 151,234

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Solution

The third proportional to 70,001 and 151,234 is: 326,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,001 : 151,234 = 151,234 : x
  2. Step 2: Convert to fraction form
    70,001/151,234 = 151,234/x
  3. Step 3: Cross multiply
    70,001x = 151,234 × 151,234
  4. Step 4: Simplify right side
    70,001x = 22,871,722,756
  5. Step 5: Solve for x
    x = 22,871,722,756/70,001
  6. Step 6: Final answer
    x = 326,734.23

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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.