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Finding the Third Proportional to 65,744 and 141,994

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Solution

The third proportional to 65,744 and 141,994 is: 306,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744 : 141,994 = 141,994 : x
  2. Step 2: Convert to fraction form
    65,744/141,994 = 141,994/x
  3. Step 3: Cross multiply
    65,744x = 141,994 × 141,994
  4. Step 4: Simplify right side
    65,744x = 20,162,296,036
  5. Step 5: Solve for x
    x = 20,162,296,036/65,744
  6. Step 6: Final answer
    x = 306,678.88

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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.