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Finding the Third Proportional to 126,367.59 and 274,878.56

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Solution

The third proportional to 126,367.59 and 274,878.56 is: 597,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,367.59 : 274,878.56 = 274,878.56 : x
  2. Step 2: Convert to fraction form
    126,367.59/274,878.56 = 274,878.56/x
  3. Step 3: Cross multiply
    126,367.59x = 274,878.56 × 274,878.56
  4. Step 4: Simplify right side
    126,367.59x = 75,558,224,122.07
  5. Step 5: Solve for x
    x = 75,558,224,122.07/126,367.59
  6. Step 6: Final answer
    x = 597,924.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.