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Finding the Third Proportional to 53,886 and 117,266

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Solution

The third proportional to 53,886 and 117,266 is: 255,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886 : 117,266 = 117,266 : x
  2. Step 2: Convert to fraction form
    53,886/117,266 = 117,266/x
  3. Step 3: Cross multiply
    53,886x = 117,266 × 117,266
  4. Step 4: Simplify right side
    53,886x = 13,751,314,756
  5. Step 5: Solve for x
    x = 13,751,314,756/53,886
  6. Step 6: Final answer
    x = 255,192.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.