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Finding the Third Proportional to 77,697 and 166,722

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Solution

The third proportional to 77,697 and 166,722 is: 357,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,697 : 166,722 = 166,722 : x
  2. Step 2: Convert to fraction form
    77,697/166,722 = 166,722/x
  3. Step 3: Cross multiply
    77,697x = 166,722 × 166,722
  4. Step 4: Simplify right side
    77,697x = 27,796,225,284
  5. Step 5: Solve for x
    x = 27,796,225,284/77,697
  6. Step 6: Final answer
    x = 357,751.59

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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.