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Finding the Third Proportional to 43,010 and 91,240

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Solution

The third proportional to 43,010 and 91,240 is: 193,553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,010 : 91,240 = 91,240 : x
  2. Step 2: Convert to fraction form
    43,010/91,240 = 91,240/x
  3. Step 3: Cross multiply
    43,010x = 91,240 × 91,240
  4. Step 4: Simplify right side
    43,010x = 8,324,737,600
  5. Step 5: Solve for x
    x = 8,324,737,600/43,010
  6. Step 6: Final answer
    x = 193,553.54

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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.