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Finding the Third Proportional to 53,242 and 117,286

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Solution

The third proportional to 53,242 and 117,286 is: 258,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242 : 117,286 = 117,286 : x
  2. Step 2: Convert to fraction form
    53,242/117,286 = 117,286/x
  3. Step 3: Cross multiply
    53,242x = 117,286 × 117,286
  4. Step 4: Simplify right side
    53,242x = 13,756,005,796
  5. Step 5: Solve for x
    x = 13,756,005,796/53,242
  6. Step 6: Final answer
    x = 258,367.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.