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Finding the Third Proportional to 77,942 and 168,338

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Solution

The third proportional to 77,942 and 168,338 is: 363,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,942 : 168,338 = 168,338 : x
  2. Step 2: Convert to fraction form
    77,942/168,338 = 168,338/x
  3. Step 3: Cross multiply
    77,942x = 168,338 × 168,338
  4. Step 4: Simplify right side
    77,942x = 28,337,682,244
  5. Step 5: Solve for x
    x = 28,337,682,244/77,942
  6. Step 6: Final answer
    x = 363,573.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.