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Finding the Third Proportional to 66,567 and 101,220

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Solution

The third proportional to 66,567 and 101,220 is: 153,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,567 : 101,220 = 101,220 : x
  2. Step 2: Convert to fraction form
    66,567/101,220 = 101,220/x
  3. Step 3: Cross multiply
    66,567x = 101,220 × 101,220
  4. Step 4: Simplify right side
    66,567x = 10,245,488,400
  5. Step 5: Solve for x
    x = 10,245,488,400/66,567
  6. Step 6: Final answer
    x = 153,912.43

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