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Finding the Third Proportional to 136,524 and 279,852

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Solution

The third proportional to 136,524 and 279,852 is: 573,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,524 : 279,852 = 279,852 : x
  2. Step 2: Convert to fraction form
    136,524/279,852 = 279,852/x
  3. Step 3: Cross multiply
    136,524x = 279,852 × 279,852
  4. Step 4: Simplify right side
    136,524x = 78,317,141,904
  5. Step 5: Solve for x
    x = 78,317,141,904/136,524
  6. Step 6: Final answer
    x = 573,651.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.