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Finding the Third Proportional to 43,020 and 93,816

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Solution

The third proportional to 43,020 and 93,816 is: 204,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 93,816 = 93,816 : x
  2. Step 2: Convert to fraction form
    43,020/93,816 = 93,816/x
  3. Step 3: Cross multiply
    43,020x = 93,816 × 93,816
  4. Step 4: Simplify right side
    43,020x = 8,801,441,856
  5. Step 5: Solve for x
    x = 8,801,441,856/43,020
  6. Step 6: Final answer
    x = 204,589.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.