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Finding the Third Proportional to 149,048 and 193,602

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Solution

The third proportional to 149,048 and 193,602 is: 251,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,048 : 193,602 = 193,602 : x
  2. Step 2: Convert to fraction form
    149,048/193,602 = 193,602/x
  3. Step 3: Cross multiply
    149,048x = 193,602 × 193,602
  4. Step 4: Simplify right side
    149,048x = 37,481,734,404
  5. Step 5: Solve for x
    x = 37,481,734,404/149,048
  6. Step 6: Final answer
    x = 251,474.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.