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Finding the Third Proportional to 129,852 and 279,144

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Solution

The third proportional to 129,852 and 279,144 is: 600,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852 : 279,144 = 279,144 : x
  2. Step 2: Convert to fraction form
    129,852/279,144 = 279,144/x
  3. Step 3: Cross multiply
    129,852x = 279,144 × 279,144
  4. Step 4: Simplify right side
    129,852x = 77,921,372,736
  5. Step 5: Solve for x
    x = 77,921,372,736/129,852
  6. Step 6: Final answer
    x = 600,078.34

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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.