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Finding the Third Proportional to 127,539 and 278,041

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Solution

The third proportional to 127,539 and 278,041 is: 606,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,539 : 278,041 = 278,041 : x
  2. Step 2: Convert to fraction form
    127,539/278,041 = 278,041/x
  3. Step 3: Cross multiply
    127,539x = 278,041 × 278,041
  4. Step 4: Simplify right side
    127,539x = 77,306,797,681
  5. Step 5: Solve for x
    x = 77,306,797,681/127,539
  6. Step 6: Final answer
    x = 606,142.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.