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Finding the Third Proportional to 104,442 and 156,204

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Solution

The third proportional to 104,442 and 156,204 is: 233,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,442 : 156,204 = 156,204 : x
  2. Step 2: Convert to fraction form
    104,442/156,204 = 156,204/x
  3. Step 3: Cross multiply
    104,442x = 156,204 × 156,204
  4. Step 4: Simplify right side
    104,442x = 24,399,689,616
  5. Step 5: Solve for x
    x = 24,399,689,616/104,442
  6. Step 6: Final answer
    x = 233,619.52

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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.