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Finding the Third Proportional to 131,628 and 192,504

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Solution

The third proportional to 131,628 and 192,504 is: 281,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,628 : 192,504 = 192,504 : x
  2. Step 2: Convert to fraction form
    131,628/192,504 = 192,504/x
  3. Step 3: Cross multiply
    131,628x = 192,504 × 192,504
  4. Step 4: Simplify right side
    131,628x = 37,057,790,016
  5. Step 5: Solve for x
    x = 37,057,790,016/131,628
  6. Step 6: Final answer
    x = 281,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.