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Finding the Third Proportional to 127,100 and 270,634

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Solution

The third proportional to 127,100 and 270,634 is: 576,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,100 : 270,634 = 270,634 : x
  2. Step 2: Convert to fraction form
    127,100/270,634 = 270,634/x
  3. Step 3: Cross multiply
    127,100x = 270,634 × 270,634
  4. Step 4: Simplify right side
    127,100x = 73,242,761,956
  5. Step 5: Solve for x
    x = 73,242,761,956/127,100
  6. Step 6: Final answer
    x = 576,260.91

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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.