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Finding the Third Proportional to 131,203 and 275,625

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Solution

The third proportional to 131,203 and 275,625 is: 579,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,203 : 275,625 = 275,625 : x
  2. Step 2: Convert to fraction form
    131,203/275,625 = 275,625/x
  3. Step 3: Cross multiply
    131,203x = 275,625 × 275,625
  4. Step 4: Simplify right side
    131,203x = 75,969,140,625
  5. Step 5: Solve for x
    x = 75,969,140,625/131,203
  6. Step 6: Final answer
    x = 579,019.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.