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Finding the Third Proportional to 77,698 and 166,723

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Solution

The third proportional to 77,698 and 166,723 is: 357,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,698 : 166,723 = 166,723 : x
  2. Step 2: Convert to fraction form
    77,698/166,723 = 166,723/x
  3. Step 3: Cross multiply
    77,698x = 166,723 × 166,723
  4. Step 4: Simplify right side
    77,698x = 27,796,558,729
  5. Step 5: Solve for x
    x = 27,796,558,729/77,698
  6. Step 6: Final answer
    x = 357,751.28

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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.