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Finding the Third Proportional to 53,456 and 114,794

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Solution

The third proportional to 53,456 and 114,794 is: 246,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,456 : 114,794 = 114,794 : x
  2. Step 2: Convert to fraction form
    53,456/114,794 = 114,794/x
  3. Step 3: Cross multiply
    53,456x = 114,794 × 114,794
  4. Step 4: Simplify right side
    53,456x = 13,177,662,436
  5. Step 5: Solve for x
    x = 13,177,662,436/53,456
  6. Step 6: Final answer
    x = 246,514.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.