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Finding the Third Proportional to 53,993 and 126,111

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Solution

The third proportional to 53,993 and 126,111 is: 294,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,993 : 126,111 = 126,111 : x
  2. Step 2: Convert to fraction form
    53,993/126,111 = 126,111/x
  3. Step 3: Cross multiply
    53,993x = 126,111 × 126,111
  4. Step 4: Simplify right side
    53,993x = 15,903,984,321
  5. Step 5: Solve for x
    x = 15,903,984,321/53,993
  6. Step 6: Final answer
    x = 294,556.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.