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Finding the Third Proportional to 42,247 and 90,734

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Solution

The third proportional to 42,247 and 90,734 is: 194,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,247 : 90,734 = 90,734 : x
  2. Step 2: Convert to fraction form
    42,247/90,734 = 90,734/x
  3. Step 3: Cross multiply
    42,247x = 90,734 × 90,734
  4. Step 4: Simplify right side
    42,247x = 8,232,658,756
  5. Step 5: Solve for x
    x = 8,232,658,756/42,247
  6. Step 6: Final answer
    x = 194,869.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.