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Finding the Third Proportional to 125,311 and 275,546

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Solution

The third proportional to 125,311 and 275,546 is: 605,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,311 : 275,546 = 275,546 : x
  2. Step 2: Convert to fraction form
    125,311/275,546 = 275,546/x
  3. Step 3: Cross multiply
    125,311x = 275,546 × 275,546
  4. Step 4: Simplify right side
    125,311x = 75,925,598,116
  5. Step 5: Solve for x
    x = 75,925,598,116/125,311
  6. Step 6: Final answer
    x = 605,897.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.