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Finding the Third Proportional to 100,662.75 and 141,081.75

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Solution

The third proportional to 100,662.75 and 141,081.75 is: 197,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,662.75 : 141,081.75 = 141,081.75 : x
  2. Step 2: Convert to fraction form
    100,662.75/141,081.75 = 141,081.75/x
  3. Step 3: Cross multiply
    100,662.75x = 141,081.75 × 141,081.75
  4. Step 4: Simplify right side
    100,662.75x = 19,904,060,183.06
  5. Step 5: Solve for x
    x = 19,904,060,183.06/100,662.75
  6. Step 6: Final answer
    x = 197,730.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.