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Finding the Third Proportional to 90,688 and 188,734

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Solution

The third proportional to 90,688 and 188,734 is: 392,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,688 : 188,734 = 188,734 : x
  2. Step 2: Convert to fraction form
    90,688/188,734 = 188,734/x
  3. Step 3: Cross multiply
    90,688x = 188,734 × 188,734
  4. Step 4: Simplify right side
    90,688x = 35,620,522,756
  5. Step 5: Solve for x
    x = 35,620,522,756/90,688
  6. Step 6: Final answer
    x = 392,780.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.