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Finding the Third Proportional to 65,954 and 141,907

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Solution

The third proportional to 65,954 and 141,907 is: 305,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 141,907 = 141,907 : x
  2. Step 2: Convert to fraction form
    65,954/141,907 = 141,907/x
  3. Step 3: Cross multiply
    65,954x = 141,907 × 141,907
  4. Step 4: Simplify right side
    65,954x = 20,137,596,649
  5. Step 5: Solve for x
    x = 20,137,596,649/65,954
  6. Step 6: Final answer
    x = 305,327.91

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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.