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Finding the Third Proportional to 127,974 and 275,569

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Solution

The third proportional to 127,974 and 275,569 is: 593,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,974 : 275,569 = 275,569 : x
  2. Step 2: Convert to fraction form
    127,974/275,569 = 275,569/x
  3. Step 3: Cross multiply
    127,974x = 275,569 × 275,569
  4. Step 4: Simplify right side
    127,974x = 75,938,273,761
  5. Step 5: Solve for x
    x = 75,938,273,761/127,974
  6. Step 6: Final answer
    x = 593,388.30

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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.