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Finding the Third Proportional to 57,190 and 82,833

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Solution

The third proportional to 57,190 and 82,833 is: 119,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190 : 82,833 = 82,833 : x
  2. Step 2: Convert to fraction form
    57,190/82,833 = 82,833/x
  3. Step 3: Cross multiply
    57,190x = 82,833 × 82,833
  4. Step 4: Simplify right side
    57,190x = 6,861,305,889
  5. Step 5: Solve for x
    x = 6,861,305,889/57,190
  6. Step 6: Final answer
    x = 119,973.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.