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Finding the Third Proportional to 43,008 and 91,236

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Solution

The third proportional to 43,008 and 91,236 is: 193,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,008 : 91,236 = 91,236 : x
  2. Step 2: Convert to fraction form
    43,008/91,236 = 91,236/x
  3. Step 3: Cross multiply
    43,008x = 91,236 × 91,236
  4. Step 4: Simplify right side
    43,008x = 8,324,007,696
  5. Step 5: Solve for x
    x = 8,324,007,696/43,008
  6. Step 6: Final answer
    x = 193,545.57

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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.