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Finding the Third Proportional to 75,279 and 163,559

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Solution

The third proportional to 75,279 and 163,559 is: 355,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,279 : 163,559 = 163,559 : x
  2. Step 2: Convert to fraction form
    75,279/163,559 = 163,559/x
  3. Step 3: Cross multiply
    75,279x = 163,559 × 163,559
  4. Step 4: Simplify right side
    75,279x = 26,751,546,481
  5. Step 5: Solve for x
    x = 26,751,546,481/75,279
  6. Step 6: Final answer
    x = 355,365.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.