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Finding the Third Proportional to 90,568 and 192,148

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Solution

The third proportional to 90,568 and 192,148 is: 407,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,568 : 192,148 = 192,148 : x
  2. Step 2: Convert to fraction form
    90,568/192,148 = 192,148/x
  3. Step 3: Cross multiply
    90,568x = 192,148 × 192,148
  4. Step 4: Simplify right side
    90,568x = 36,920,853,904
  5. Step 5: Solve for x
    x = 36,920,853,904/90,568
  6. Step 6: Final answer
    x = 407,658.93

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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.