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Finding the Third Proportional to 131,629 and 192,506

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Solution

The third proportional to 131,629 and 192,506 is: 281,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,629 : 192,506 = 192,506 : x
  2. Step 2: Convert to fraction form
    131,629/192,506 = 192,506/x
  3. Step 3: Cross multiply
    131,629x = 192,506 × 192,506
  4. Step 4: Simplify right side
    131,629x = 37,058,560,036
  5. Step 5: Solve for x
    x = 37,058,560,036/131,629
  6. Step 6: Final answer
    x = 281,537.96

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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.