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Finding the Third Proportional to 107,241 and 163,167

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Solution

The third proportional to 107,241 and 163,167 is: 248,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,241 : 163,167 = 163,167 : x
  2. Step 2: Convert to fraction form
    107,241/163,167 = 163,167/x
  3. Step 3: Cross multiply
    107,241x = 163,167 × 163,167
  4. Step 4: Simplify right side
    107,241x = 26,623,469,889
  5. Step 5: Solve for x
    x = 26,623,469,889/107,241
  6. Step 6: Final answer
    x = 248,258.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.