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Finding the Third Proportional to 84,019 and 175,828

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Solution

The third proportional to 84,019 and 175,828 is: 367,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,019 : 175,828 = 175,828 : x
  2. Step 2: Convert to fraction form
    84,019/175,828 = 175,828/x
  3. Step 3: Cross multiply
    84,019x = 175,828 × 175,828
  4. Step 4: Simplify right side
    84,019x = 30,915,485,584
  5. Step 5: Solve for x
    x = 30,915,485,584/84,019
  6. Step 6: Final answer
    x = 367,958.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.