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Finding the Third Proportional to 34,193.25 and 73,496.25

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Solution

The third proportional to 34,193.25 and 73,496.25 is: 157,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193.25 : 73,496.25 = 73,496.25 : x
  2. Step 2: Convert to fraction form
    34,193.25/73,496.25 = 73,496.25/x
  3. Step 3: Cross multiply
    34,193.25x = 73,496.25 × 73,496.25
  4. Step 4: Simplify right side
    34,193.25x = 5,401,698,764.06
  5. Step 5: Solve for x
    x = 5,401,698,764.06/34,193.25
  6. Step 6: Final answer
    x = 157,975.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.