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Finding the Third Proportional to 43,044 and 87,816

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Solution

The third proportional to 43,044 and 87,816 is: 179,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,044 : 87,816 = 87,816 : x
  2. Step 2: Convert to fraction form
    43,044/87,816 = 87,816/x
  3. Step 3: Cross multiply
    43,044x = 87,816 × 87,816
  4. Step 4: Simplify right side
    43,044x = 7,711,649,856
  5. Step 5: Solve for x
    x = 7,711,649,856/43,044
  6. Step 6: Final answer
    x = 179,157.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.