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Finding the Third Proportional to 126,902.25 and 282,171.63

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Solution

The third proportional to 126,902.25 and 282,171.63 is: 627,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,902.25 : 282,171.63 = 282,171.63 : x
  2. Step 2: Convert to fraction form
    126,902.25/282,171.63 = 282,171.63/x
  3. Step 3: Cross multiply
    126,902.25x = 282,171.63 × 282,171.63
  4. Step 4: Simplify right side
    126,902.25x = 79,620,825,955.14
  5. Step 5: Solve for x
    x = 79,620,825,955.14/126,902.25
  6. Step 6: Final answer
    x = 627,418.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.