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Finding the Third Proportional to 96,738.75 and 146,568.66

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Solution

The third proportional to 96,738.75 and 146,568.66 is: 222,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,738.75 : 146,568.66 = 146,568.66 : x
  2. Step 2: Convert to fraction form
    96,738.75/146,568.66 = 146,568.66/x
  3. Step 3: Cross multiply
    96,738.75x = 146,568.66 × 146,568.66
  4. Step 4: Simplify right side
    96,738.75x = 21,482,370,994.93
  5. Step 5: Solve for x
    x = 21,482,370,994.93/96,738.75
  6. Step 6: Final answer
    x = 222,065.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.