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Finding the Third Proportional to 84,969.75 and 173,625

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Solution

The third proportional to 84,969.75 and 173,625 is: 354,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969.75 : 173,625 = 173,625 : x
  2. Step 2: Convert to fraction form
    84,969.75/173,625 = 173,625/x
  3. Step 3: Cross multiply
    84,969.75x = 173,625 × 173,625
  4. Step 4: Simplify right side
    84,969.75x = 30,145,640,625
  5. Step 5: Solve for x
    x = 30,145,640,625/84,969.75
  6. Step 6: Final answer
    x = 354,780.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.