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Finding the Third Proportional to 53,170 and 82,268

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Solution

The third proportional to 53,170 and 82,268 is: 127,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,170 : 82,268 = 82,268 : x
  2. Step 2: Convert to fraction form
    53,170/82,268 = 82,268/x
  3. Step 3: Cross multiply
    53,170x = 82,268 × 82,268
  4. Step 4: Simplify right side
    53,170x = 6,768,023,824
  5. Step 5: Solve for x
    x = 6,768,023,824/53,170
  6. Step 6: Final answer
    x = 127,290.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.