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Finding the Third Proportional to 127,003.50 and 271,503

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Solution

The third proportional to 127,003.50 and 271,503 is: 580,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,003.50 : 271,503 = 271,503 : x
  2. Step 2: Convert to fraction form
    127,003.50/271,503 = 271,503/x
  3. Step 3: Cross multiply
    127,003.50x = 271,503 × 271,503
  4. Step 4: Simplify right side
    127,003.50x = 73,713,879,009
  5. Step 5: Solve for x
    x = 73,713,879,009/127,003.50
  6. Step 6: Final answer
    x = 580,408.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.