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Finding the Third Proportional to 126,934.59 and 275,751.84

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Solution

The third proportional to 126,934.59 and 275,751.84 is: 599,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,934.59 : 275,751.84 = 275,751.84 : x
  2. Step 2: Convert to fraction form
    126,934.59/275,751.84 = 275,751.84/x
  3. Step 3: Cross multiply
    126,934.59x = 275,751.84 × 275,751.84
  4. Step 4: Simplify right side
    126,934.59x = 76,039,079,331.52
  5. Step 5: Solve for x
    x = 76,039,079,331.52/126,934.59
  6. Step 6: Final answer
    x = 599,041.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.