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Finding the Third Proportional to 73,962 and 159,743.25

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Solution

The third proportional to 73,962 and 159,743.25 is: 345,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,962 : 159,743.25 = 159,743.25 : x
  2. Step 2: Convert to fraction form
    73,962/159,743.25 = 159,743.25/x
  3. Step 3: Cross multiply
    73,962x = 159,743.25 × 159,743.25
  4. Step 4: Simplify right side
    73,962x = 25,517,905,920.56
  5. Step 5: Solve for x
    x = 25,517,905,920.56/73,962
  6. Step 6: Final answer
    x = 345,013.74

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