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Finding the Third Proportional to 71,930 and 158,035

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Solution

The third proportional to 71,930 and 158,035 is: 347,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,930 : 158,035 = 158,035 : x
  2. Step 2: Convert to fraction form
    71,930/158,035 = 158,035/x
  3. Step 3: Cross multiply
    71,930x = 158,035 × 158,035
  4. Step 4: Simplify right side
    71,930x = 24,975,061,225
  5. Step 5: Solve for x
    x = 24,975,061,225/71,930
  6. Step 6: Final answer
    x = 347,213.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.