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Finding the Third Proportional to 84,017.25 and 175,824

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Solution

The third proportional to 84,017.25 and 175,824 is: 367,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,017.25 : 175,824 = 175,824 : x
  2. Step 2: Convert to fraction form
    84,017.25/175,824 = 175,824/x
  3. Step 3: Cross multiply
    84,017.25x = 175,824 × 175,824
  4. Step 4: Simplify right side
    84,017.25x = 30,914,078,976
  5. Step 5: Solve for x
    x = 30,914,078,976/84,017.25
  6. Step 6: Final answer
    x = 367,949.19

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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.