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Finding the Third Proportional to 132,623 and 271,375

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Solution

The third proportional to 132,623 and 271,375 is: 555,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,623 : 271,375 = 271,375 : x
  2. Step 2: Convert to fraction form
    132,623/271,375 = 271,375/x
  3. Step 3: Cross multiply
    132,623x = 271,375 × 271,375
  4. Step 4: Simplify right side
    132,623x = 73,644,390,625
  5. Step 5: Solve for x
    x = 73,644,390,625/132,623
  6. Step 6: Final answer
    x = 555,291.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.