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Finding the Third Proportional to 53,631 and 105,912

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Solution

The third proportional to 53,631 and 105,912 is: 209,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,631 : 105,912 = 105,912 : x
  2. Step 2: Convert to fraction form
    53,631/105,912 = 105,912/x
  3. Step 3: Cross multiply
    53,631x = 105,912 × 105,912
  4. Step 4: Simplify right side
    53,631x = 11,217,351,744
  5. Step 5: Solve for x
    x = 11,217,351,744/53,631
  6. Step 6: Final answer
    x = 209,157.98

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.