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Finding the Third Proportional to 127,596 and 274,689

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Solution

The third proportional to 127,596 and 274,689 is: 591,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,596 : 274,689 = 274,689 : x
  2. Step 2: Convert to fraction form
    127,596/274,689 = 274,689/x
  3. Step 3: Cross multiply
    127,596x = 274,689 × 274,689
  4. Step 4: Simplify right side
    127,596x = 75,454,046,721
  5. Step 5: Solve for x
    x = 75,454,046,721/127,596
  6. Step 6: Final answer
    x = 591,351.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.