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Finding the Third Proportional to 69,541 and 150,167

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Solution

The third proportional to 69,541 and 150,167 is: 324,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,541 : 150,167 = 150,167 : x
  2. Step 2: Convert to fraction form
    69,541/150,167 = 150,167/x
  3. Step 3: Cross multiply
    69,541x = 150,167 × 150,167
  4. Step 4: Simplify right side
    69,541x = 22,550,127,889
  5. Step 5: Solve for x
    x = 22,550,127,889/69,541
  6. Step 6: Final answer
    x = 324,270.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.