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Finding the Third Proportional to 66,723.75 and 145,759.50

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Solution

The third proportional to 66,723.75 and 145,759.50 is: 318,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,723.75 : 145,759.50 = 145,759.50 : x
  2. Step 2: Convert to fraction form
    66,723.75/145,759.50 = 145,759.50/x
  3. Step 3: Cross multiply
    66,723.75x = 145,759.50 × 145,759.50
  4. Step 4: Simplify right side
    66,723.75x = 21,245,831,840.25
  5. Step 5: Solve for x
    x = 21,245,831,840.25/66,723.75
  6. Step 6: Final answer
    x = 318,414.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.