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Finding the Third Proportional to 90,214 and 195,736

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Solution

The third proportional to 90,214 and 195,736 is: 424,685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,214 : 195,736 = 195,736 : x
  2. Step 2: Convert to fraction form
    90,214/195,736 = 195,736/x
  3. Step 3: Cross multiply
    90,214x = 195,736 × 195,736
  4. Step 4: Simplify right side
    90,214x = 38,312,581,696
  5. Step 5: Solve for x
    x = 38,312,581,696/90,214
  6. Step 6: Final answer
    x = 424,685.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.