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Finding the Third Proportional to 51,218 and 106,524

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Solution

The third proportional to 51,218 and 106,524 is: 221,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,218 : 106,524 = 106,524 : x
  2. Step 2: Convert to fraction form
    51,218/106,524 = 106,524/x
  3. Step 3: Cross multiply
    51,218x = 106,524 × 106,524
  4. Step 4: Simplify right side
    51,218x = 11,347,362,576
  5. Step 5: Solve for x
    x = 11,347,362,576/51,218
  6. Step 6: Final answer
    x = 221,550.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.