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Finding the Third Proportional to 70,296 and 146,425

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Solution

The third proportional to 70,296 and 146,425 is: 305,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,296 : 146,425 = 146,425 : x
  2. Step 2: Convert to fraction form
    70,296/146,425 = 146,425/x
  3. Step 3: Cross multiply
    70,296x = 146,425 × 146,425
  4. Step 4: Simplify right side
    70,296x = 21,440,280,625
  5. Step 5: Solve for x
    x = 21,440,280,625/70,296
  6. Step 6: Final answer
    x = 305,000.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.