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Finding the Third Proportional to 104,293 and 156,443

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Solution

The third proportional to 104,293 and 156,443 is: 234,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,293 : 156,443 = 156,443 : x
  2. Step 2: Convert to fraction form
    104,293/156,443 = 156,443/x
  3. Step 3: Cross multiply
    104,293x = 156,443 × 156,443
  4. Step 4: Simplify right side
    104,293x = 24,474,412,249
  5. Step 5: Solve for x
    x = 24,474,412,249/104,293
  6. Step 6: Final answer
    x = 234,669.75

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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.