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Finding the Third Proportional to 42,326 and 87,212

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Solution

The third proportional to 42,326 and 87,212 is: 179,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,326 : 87,212 = 87,212 : x
  2. Step 2: Convert to fraction form
    42,326/87,212 = 87,212/x
  3. Step 3: Cross multiply
    42,326x = 87,212 × 87,212
  4. Step 4: Simplify right side
    42,326x = 7,605,932,944
  5. Step 5: Solve for x
    x = 7,605,932,944/42,326
  6. Step 6: Final answer
    x = 179,698.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.