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Finding the Third Proportional to 53,738.44 and 106,110

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Solution

The third proportional to 53,738.44 and 106,110 is: 209,521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738.44 : 106,110 = 106,110 : x
  2. Step 2: Convert to fraction form
    53,738.44/106,110 = 106,110/x
  3. Step 3: Cross multiply
    53,738.44x = 106,110 × 106,110
  4. Step 4: Simplify right side
    53,738.44x = 11,259,332,100
  5. Step 5: Solve for x
    x = 11,259,332,100/53,738.44
  6. Step 6: Final answer
    x = 209,521.02

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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.