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Finding the Third Proportional to 127,036 and 271,568

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Solution

The third proportional to 127,036 and 271,568 is: 580,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,036 : 271,568 = 271,568 : x
  2. Step 2: Convert to fraction form
    127,036/271,568 = 271,568/x
  3. Step 3: Cross multiply
    127,036x = 271,568 × 271,568
  4. Step 4: Simplify right side
    127,036x = 73,749,178,624
  5. Step 5: Solve for x
    x = 73,749,178,624/127,036
  6. Step 6: Final answer
    x = 580,537.63

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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.