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Finding the Third Proportional to 40,764 and 84,147

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Solution

The third proportional to 40,764 and 84,147 is: 173,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,764 : 84,147 = 84,147 : x
  2. Step 2: Convert to fraction form
    40,764/84,147 = 84,147/x
  3. Step 3: Cross multiply
    40,764x = 84,147 × 84,147
  4. Step 4: Simplify right side
    40,764x = 7,080,717,609
  5. Step 5: Solve for x
    x = 7,080,717,609/40,764
  6. Step 6: Final answer
    x = 173,700.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.