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Finding the Third Proportional to 65,859.75 and 141,704.44

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Solution

The third proportional to 65,859.75 and 141,704.44 is: 304,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,859.75 : 141,704.44 = 141,704.44 : x
  2. Step 2: Convert to fraction form
    65,859.75/141,704.44 = 141,704.44/x
  3. Step 3: Cross multiply
    65,859.75x = 141,704.44 × 141,704.44
  4. Step 4: Simplify right side
    65,859.75x = 20,080,147,607.19
  5. Step 5: Solve for x
    x = 20,080,147,607.19/65,859.75
  6. Step 6: Final answer
    x = 304,892.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.