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Finding the Third Proportional to 39,071.25 and 80,912.25

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Solution

The third proportional to 39,071.25 and 80,912.25 is: 167,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,071.25 : 80,912.25 = 80,912.25 : x
  2. Step 2: Convert to fraction form
    39,071.25/80,912.25 = 80,912.25/x
  3. Step 3: Cross multiply
    39,071.25x = 80,912.25 × 80,912.25
  4. Step 4: Simplify right side
    39,071.25x = 6,546,792,200.06
  5. Step 5: Solve for x
    x = 6,546,792,200.06/39,071.25
  6. Step 6: Final answer
    x = 167,560.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.