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Finding the Third Proportional to 66,774 and 156,063

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Solution

The third proportional to 66,774 and 156,063 is: 364,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,774 : 156,063 = 156,063 : x
  2. Step 2: Convert to fraction form
    66,774/156,063 = 156,063/x
  3. Step 3: Cross multiply
    66,774x = 156,063 × 156,063
  4. Step 4: Simplify right side
    66,774x = 24,355,659,969
  5. Step 5: Solve for x
    x = 24,355,659,969/66,774
  6. Step 6: Final answer
    x = 364,747.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.