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Finding the Third Proportional to 43,401 and 92,133

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Solution

The third proportional to 43,401 and 92,133 is: 195,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,401 : 92,133 = 92,133 : x
  2. Step 2: Convert to fraction form
    43,401/92,133 = 92,133/x
  3. Step 3: Cross multiply
    43,401x = 92,133 × 92,133
  4. Step 4: Simplify right side
    43,401x = 8,488,489,689
  5. Step 5: Solve for x
    x = 8,488,489,689/43,401
  6. Step 6: Final answer
    x = 195,582.81

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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.