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Finding the Third Proportional to 126,620 and 270,187

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Solution

The third proportional to 126,620 and 270,187 is: 576,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,620 : 270,187 = 270,187 : x
  2. Step 2: Convert to fraction form
    126,620/270,187 = 270,187/x
  3. Step 3: Cross multiply
    126,620x = 270,187 × 270,187
  4. Step 4: Simplify right side
    126,620x = 73,001,014,969
  5. Step 5: Solve for x
    x = 73,001,014,969/126,620
  6. Step 6: Final answer
    x = 576,536.21

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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.