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Finding the Third Proportional to 136,810 and 192,523

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Solution

The third proportional to 136,810 and 192,523 is: 270,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,810 : 192,523 = 192,523 : x
  2. Step 2: Convert to fraction form
    136,810/192,523 = 192,523/x
  3. Step 3: Cross multiply
    136,810x = 192,523 × 192,523
  4. Step 4: Simplify right side
    136,810x = 37,065,105,529
  5. Step 5: Solve for x
    x = 37,065,105,529/136,810
  6. Step 6: Final answer
    x = 270,923.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.