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Finding the Third Proportional to 90,594 and 192,150

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Solution

The third proportional to 90,594 and 192,150 is: 407,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,594 : 192,150 = 192,150 : x
  2. Step 2: Convert to fraction form
    90,594/192,150 = 192,150/x
  3. Step 3: Cross multiply
    90,594x = 192,150 × 192,150
  4. Step 4: Simplify right side
    90,594x = 36,921,622,500
  5. Step 5: Solve for x
    x = 36,921,622,500/90,594
  6. Step 6: Final answer
    x = 407,550.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.