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Finding the Third Proportional to 127,075 and 271,637

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Solution

The third proportional to 127,075 and 271,637 is: 580,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,075 : 271,637 = 271,637 : x
  2. Step 2: Convert to fraction form
    127,075/271,637 = 271,637/x
  3. Step 3: Cross multiply
    127,075x = 271,637 × 271,637
  4. Step 4: Simplify right side
    127,075x = 73,786,659,769
  5. Step 5: Solve for x
    x = 73,786,659,769/127,075
  6. Step 6: Final answer
    x = 580,654.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.