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Finding the Third Proportional to 53,493 and 110,631

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Solution

The third proportional to 53,493 and 110,631 is: 228,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493 : 110,631 = 110,631 : x
  2. Step 2: Convert to fraction form
    53,493/110,631 = 110,631/x
  3. Step 3: Cross multiply
    53,493x = 110,631 × 110,631
  4. Step 4: Simplify right side
    53,493x = 12,239,218,161
  5. Step 5: Solve for x
    x = 12,239,218,161/53,493
  6. Step 6: Final answer
    x = 228,800.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.