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Finding the Third Proportional to 90,626 and 133,165

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Solution

The third proportional to 90,626 and 133,165 is: 195,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,626 : 133,165 = 133,165 : x
  2. Step 2: Convert to fraction form
    90,626/133,165 = 133,165/x
  3. Step 3: Cross multiply
    90,626x = 133,165 × 133,165
  4. Step 4: Simplify right side
    90,626x = 17,732,917,225
  5. Step 5: Solve for x
    x = 17,732,917,225/90,626
  6. Step 6: Final answer
    x = 195,671.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.