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Finding the Third Proportional to 66,633.75 and 95,286.38

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Solution

The third proportional to 66,633.75 and 95,286.38 is: 136,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,633.75 : 95,286.38 = 95,286.38 : x
  2. Step 2: Convert to fraction form
    66,633.75/95,286.38 = 95,286.38/x
  3. Step 3: Cross multiply
    66,633.75x = 95,286.38 × 95,286.38
  4. Step 4: Simplify right side
    66,633.75x = 9,079,493,260.64
  5. Step 5: Solve for x
    x = 9,079,493,260.64/66,633.75
  6. Step 6: Final answer
    x = 136,259.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.