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Finding the Third Proportional to 90,356 and 193,166

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Solution

The third proportional to 90,356 and 193,166 is: 412,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,356 : 193,166 = 193,166 : x
  2. Step 2: Convert to fraction form
    90,356/193,166 = 193,166/x
  3. Step 3: Cross multiply
    90,356x = 193,166 × 193,166
  4. Step 4: Simplify right side
    90,356x = 37,313,103,556
  5. Step 5: Solve for x
    x = 37,313,103,556/90,356
  6. Step 6: Final answer
    x = 412,956.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.