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Finding the Third Proportional to 66,923 and 98,150

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Solution

The third proportional to 66,923 and 98,150 is: 143,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,923 : 98,150 = 98,150 : x
  2. Step 2: Convert to fraction form
    66,923/98,150 = 98,150/x
  3. Step 3: Cross multiply
    66,923x = 98,150 × 98,150
  4. Step 4: Simplify right side
    66,923x = 9,633,422,500
  5. Step 5: Solve for x
    x = 9,633,422,500/66,923
  6. Step 6: Final answer
    x = 143,947.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.