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Finding the Third Proportional to 38,821 and 83,176

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Solution

The third proportional to 38,821 and 83,176 is: 178,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821 : 83,176 = 83,176 : x
  2. Step 2: Convert to fraction form
    38,821/83,176 = 83,176/x
  3. Step 3: Cross multiply
    38,821x = 83,176 × 83,176
  4. Step 4: Simplify right side
    38,821x = 6,918,246,976
  5. Step 5: Solve for x
    x = 6,918,246,976/38,821
  6. Step 6: Final answer
    x = 178,208.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.