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Finding the Third Proportional to 127,102 and 270,638

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Solution

The third proportional to 127,102 and 270,638 is: 576,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,102 : 270,638 = 270,638 : x
  2. Step 2: Convert to fraction form
    127,102/270,638 = 270,638/x
  3. Step 3: Cross multiply
    127,102x = 270,638 × 270,638
  4. Step 4: Simplify right side
    127,102x = 73,244,927,044
  5. Step 5: Solve for x
    x = 73,244,927,044/127,102
  6. Step 6: Final answer
    x = 576,268.88

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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.