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Finding the Third Proportional to 84,094 and 175,976

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Solution

The third proportional to 84,094 and 175,976 is: 368,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,094 : 175,976 = 175,976 : x
  2. Step 2: Convert to fraction form
    84,094/175,976 = 175,976/x
  3. Step 3: Cross multiply
    84,094x = 175,976 × 175,976
  4. Step 4: Simplify right side
    84,094x = 30,967,552,576
  5. Step 5: Solve for x
    x = 30,967,552,576/84,094
  6. Step 6: Final answer
    x = 368,249.25

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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.