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Finding the Third Proportional to 33,201 and 68,125.50

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Solution

The third proportional to 33,201 and 68,125.50 is: 139,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201 : 68,125.50 = 68,125.50 : x
  2. Step 2: Convert to fraction form
    33,201/68,125.50 = 68,125.50/x
  3. Step 3: Cross multiply
    33,201x = 68,125.50 × 68,125.50
  4. Step 4: Simplify right side
    33,201x = 4,641,083,750.25
  5. Step 5: Solve for x
    x = 4,641,083,750.25/33,201
  6. Step 6: Final answer
    x = 139,787.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.