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Finding the Third Proportional to 66,650 and 100,167

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Solution

The third proportional to 66,650 and 100,167 is: 150,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,650 : 100,167 = 100,167 : x
  2. Step 2: Convert to fraction form
    66,650/100,167 = 100,167/x
  3. Step 3: Cross multiply
    66,650x = 100,167 × 100,167
  4. Step 4: Simplify right side
    66,650x = 10,033,427,889
  5. Step 5: Solve for x
    x = 10,033,427,889/66,650
  6. Step 6: Final answer
    x = 150,539.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.