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Finding the Third Proportional to 126,954.84 and 275,777.16

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Solution

The third proportional to 126,954.84 and 275,777.16 is: 599,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,954.84 : 275,777.16 = 275,777.16 : x
  2. Step 2: Convert to fraction form
    126,954.84/275,777.16 = 275,777.16/x
  3. Step 3: Cross multiply
    126,954.84x = 275,777.16 × 275,777.16
  4. Step 4: Simplify right side
    126,954.84x = 76,053,039,909.34
  5. Step 5: Solve for x
    x = 76,053,039,909.34/126,954.84
  6. Step 6: Final answer
    x = 599,055.83

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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.