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Finding the Third Proportional to 142,738 and 192,268

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Solution

The third proportional to 142,738 and 192,268 is: 258,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738 : 192,268 = 192,268 : x
  2. Step 2: Convert to fraction form
    142,738/192,268 = 192,268/x
  3. Step 3: Cross multiply
    142,738x = 192,268 × 192,268
  4. Step 4: Simplify right side
    142,738x = 36,966,983,824
  5. Step 5: Solve for x
    x = 36,966,983,824/142,738
  6. Step 6: Final answer
    x = 258,984.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.