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Finding the Third Proportional to 73,623.75 and 158,999.25

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Solution

The third proportional to 73,623.75 and 158,999.25 is: 343,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,623.75 : 158,999.25 = 158,999.25 : x
  2. Step 2: Convert to fraction form
    73,623.75/158,999.25 = 158,999.25/x
  3. Step 3: Cross multiply
    73,623.75x = 158,999.25 × 158,999.25
  4. Step 4: Simplify right side
    73,623.75x = 25,280,761,500.56
  5. Step 5: Solve for x
    x = 25,280,761,500.56/73,623.75
  6. Step 6: Final answer
    x = 343,377.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.