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Finding the Third Proportional to 104,494 and 156,498

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Solution

The third proportional to 104,494 and 156,498 is: 234,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494 : 156,498 = 156,498 : x
  2. Step 2: Convert to fraction form
    104,494/156,498 = 156,498/x
  3. Step 3: Cross multiply
    104,494x = 156,498 × 156,498
  4. Step 4: Simplify right side
    104,494x = 24,491,624,004
  5. Step 5: Solve for x
    x = 24,491,624,004/104,494
  6. Step 6: Final answer
    x = 234,383.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.