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Finding the Third Proportional to 43,817 and 93,104

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Solution

The third proportional to 43,817 and 93,104 is: 197,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817 : 93,104 = 93,104 : x
  2. Step 2: Convert to fraction form
    43,817/93,104 = 93,104/x
  3. Step 3: Cross multiply
    43,817x = 93,104 × 93,104
  4. Step 4: Simplify right side
    43,817x = 8,668,354,816
  5. Step 5: Solve for x
    x = 8,668,354,816/43,817
  6. Step 6: Final answer
    x = 197,830.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.