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Finding the Third Proportional to 63,874 and 149,191

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Solution

The third proportional to 63,874 and 149,191 is: 348,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,874 : 149,191 = 149,191 : x
  2. Step 2: Convert to fraction form
    63,874/149,191 = 149,191/x
  3. Step 3: Cross multiply
    63,874x = 149,191 × 149,191
  4. Step 4: Simplify right side
    63,874x = 22,257,954,481
  5. Step 5: Solve for x
    x = 22,257,954,481/63,874
  6. Step 6: Final answer
    x = 348,466.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.