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Finding the Third Proportional to 68,866 and 150,152

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Solution

The third proportional to 68,866 and 150,152 is: 327,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,866 : 150,152 = 150,152 : x
  2. Step 2: Convert to fraction form
    68,866/150,152 = 150,152/x
  3. Step 3: Cross multiply
    68,866x = 150,152 × 150,152
  4. Step 4: Simplify right side
    68,866x = 22,545,623,104
  5. Step 5: Solve for x
    x = 22,545,623,104/68,866
  6. Step 6: Final answer
    x = 327,383.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.