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Finding the Third Proportional to 75,211 and 163,917

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Solution

The third proportional to 75,211 and 163,917 is: 357,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,211 : 163,917 = 163,917 : x
  2. Step 2: Convert to fraction form
    75,211/163,917 = 163,917/x
  3. Step 3: Cross multiply
    75,211x = 163,917 × 163,917
  4. Step 4: Simplify right side
    75,211x = 26,868,782,889
  5. Step 5: Solve for x
    x = 26,868,782,889/75,211
  6. Step 6: Final answer
    x = 357,245.39

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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.