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Finding the Third Proportional to 144,003 and 197,757

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Solution

The third proportional to 144,003 and 197,757 is: 271,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003 : 197,757 = 197,757 : x
  2. Step 2: Convert to fraction form
    144,003/197,757 = 197,757/x
  3. Step 3: Cross multiply
    144,003x = 197,757 × 197,757
  4. Step 4: Simplify right side
    144,003x = 39,107,831,049
  5. Step 5: Solve for x
    x = 39,107,831,049/144,003
  6. Step 6: Final answer
    x = 271,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.