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Finding the Third Proportional to 43,190 and 57,399

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Solution

The third proportional to 43,190 and 57,399 is: 76,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,190 : 57,399 = 57,399 : x
  2. Step 2: Convert to fraction form
    43,190/57,399 = 57,399/x
  3. Step 3: Cross multiply
    43,190x = 57,399 × 57,399
  4. Step 4: Simplify right side
    43,190x = 3,294,645,201
  5. Step 5: Solve for x
    x = 3,294,645,201/43,190
  6. Step 6: Final answer
    x = 76,282.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.