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Finding the Third Proportional to 43,179 and 92,861

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Solution

The third proportional to 43,179 and 92,861 is: 199,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,179 : 92,861 = 92,861 : x
  2. Step 2: Convert to fraction form
    43,179/92,861 = 92,861/x
  3. Step 3: Cross multiply
    43,179x = 92,861 × 92,861
  4. Step 4: Simplify right side
    43,179x = 8,623,165,321
  5. Step 5: Solve for x
    x = 8,623,165,321/43,179
  6. Step 6: Final answer
    x = 199,707.39

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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.