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Finding the Third Proportional to 126,616 and 270,181

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Solution

The third proportional to 126,616 and 270,181 is: 576,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,616 : 270,181 = 270,181 : x
  2. Step 2: Convert to fraction form
    126,616/270,181 = 270,181/x
  3. Step 3: Cross multiply
    126,616x = 270,181 × 270,181
  4. Step 4: Simplify right side
    126,616x = 72,997,772,761
  5. Step 5: Solve for x
    x = 72,997,772,761/126,616
  6. Step 6: Final answer
    x = 576,528.82

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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.