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Finding the Third Proportional to 73,743.75 and 159,999.75

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Solution

The third proportional to 73,743.75 and 159,999.75 is: 347,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,743.75 : 159,999.75 = 159,999.75 : x
  2. Step 2: Convert to fraction form
    73,743.75/159,999.75 = 159,999.75/x
  3. Step 3: Cross multiply
    73,743.75x = 159,999.75 × 159,999.75
  4. Step 4: Simplify right side
    73,743.75x = 25,599,920,000.06
  5. Step 5: Solve for x
    x = 25,599,920,000.06/73,743.75
  6. Step 6: Final answer
    x = 347,146.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.