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Finding the Third Proportional to 79,032 and 188,904

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Solution

The third proportional to 79,032 and 188,904 is: 451,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,032 : 188,904 = 188,904 : x
  2. Step 2: Convert to fraction form
    79,032/188,904 = 188,904/x
  3. Step 3: Cross multiply
    79,032x = 188,904 × 188,904
  4. Step 4: Simplify right side
    79,032x = 35,684,721,216
  5. Step 5: Solve for x
    x = 35,684,721,216/79,032
  6. Step 6: Final answer
    x = 451,522.44

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.