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Finding the Third Proportional to 42,446 and 91,156

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Solution

The third proportional to 42,446 and 91,156 is: 195,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446 : 91,156 = 91,156 : x
  2. Step 2: Convert to fraction form
    42,446/91,156 = 91,156/x
  3. Step 3: Cross multiply
    42,446x = 91,156 × 91,156
  4. Step 4: Simplify right side
    42,446x = 8,309,416,336
  5. Step 5: Solve for x
    x = 8,309,416,336/42,446
  6. Step 6: Final answer
    x = 195,764.41

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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.