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Finding the Third Proportional to 43,254 and 92,974

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Solution

The third proportional to 43,254 and 92,974 is: 199,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,254 : 92,974 = 92,974 : x
  2. Step 2: Convert to fraction form
    43,254/92,974 = 92,974/x
  3. Step 3: Cross multiply
    43,254x = 92,974 × 92,974
  4. Step 4: Simplify right side
    43,254x = 8,644,164,676
  5. Step 5: Solve for x
    x = 8,644,164,676/43,254
  6. Step 6: Final answer
    x = 199,846.60

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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.