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Finding the Third Proportional to 55,256 and 118,268

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Solution

The third proportional to 55,256 and 118,268 is: 253,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,256 : 118,268 = 118,268 : x
  2. Step 2: Convert to fraction form
    55,256/118,268 = 118,268/x
  3. Step 3: Cross multiply
    55,256x = 118,268 × 118,268
  4. Step 4: Simplify right side
    55,256x = 13,987,319,824
  5. Step 5: Solve for x
    x = 13,987,319,824/55,256
  6. Step 6: Final answer
    x = 253,136.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.