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Finding the Third Proportional to 125,852 and 279,676

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Solution

The third proportional to 125,852 and 279,676 is: 621,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,852 : 279,676 = 279,676 : x
  2. Step 2: Convert to fraction form
    125,852/279,676 = 279,676/x
  3. Step 3: Cross multiply
    125,852x = 279,676 × 279,676
  4. Step 4: Simplify right side
    125,852x = 78,218,664,976
  5. Step 5: Solve for x
    x = 78,218,664,976/125,852
  6. Step 6: Final answer
    x = 621,513.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.