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Finding the Third Proportional to 77,922 and 166,212

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Solution

The third proportional to 77,922 and 166,212 is: 354,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,922 : 166,212 = 166,212 : x
  2. Step 2: Convert to fraction form
    77,922/166,212 = 166,212/x
  3. Step 3: Cross multiply
    77,922x = 166,212 × 166,212
  4. Step 4: Simplify right side
    77,922x = 27,626,428,944
  5. Step 5: Solve for x
    x = 27,626,428,944/77,922
  6. Step 6: Final answer
    x = 354,539.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.