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Finding the Third Proportional to 126,928.25 and 270,157

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Solution

The third proportional to 126,928.25 and 270,157 is: 575,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,928.25 : 270,157 = 270,157 : x
  2. Step 2: Convert to fraction form
    126,928.25/270,157 = 270,157/x
  3. Step 3: Cross multiply
    126,928.25x = 270,157 × 270,157
  4. Step 4: Simplify right side
    126,928.25x = 72,984,804,649
  5. Step 5: Solve for x
    x = 72,984,804,649/126,928.25
  6. Step 6: Final answer
    x = 575,008.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.