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Finding the Third Proportional to 51,624 and 106,027.31

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Solution

The third proportional to 51,624 and 106,027.31 is: 217,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 106,027.31 = 106,027.31 : x
  2. Step 2: Convert to fraction form
    51,624/106,027.31 = 106,027.31/x
  3. Step 3: Cross multiply
    51,624x = 106,027.31 × 106,027.31
  4. Step 4: Simplify right side
    51,624x = 11,241,790,995.97
  5. Step 5: Solve for x
    x = 11,241,790,995.97/51,624
  6. Step 6: Final answer
    x = 217,762.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.