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Finding the Third Proportional to 90,783 and 141,147

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Solution

The third proportional to 90,783 and 141,147 is: 219,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783 : 141,147 = 141,147 : x
  2. Step 2: Convert to fraction form
    90,783/141,147 = 141,147/x
  3. Step 3: Cross multiply
    90,783x = 141,147 × 141,147
  4. Step 4: Simplify right side
    90,783x = 19,922,475,609
  5. Step 5: Solve for x
    x = 19,922,475,609/90,783
  6. Step 6: Final answer
    x = 219,451.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.