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Finding the Third Proportional to 126,039 and 272,134

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Solution

The third proportional to 126,039 and 272,134 is: 587,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,039 : 272,134 = 272,134 : x
  2. Step 2: Convert to fraction form
    126,039/272,134 = 272,134/x
  3. Step 3: Cross multiply
    126,039x = 272,134 × 272,134
  4. Step 4: Simplify right side
    126,039x = 74,056,913,956
  5. Step 5: Solve for x
    x = 74,056,913,956/126,039
  6. Step 6: Final answer
    x = 587,571.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.