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Finding the Third Proportional to 68,880 and 106,632

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Solution

The third proportional to 68,880 and 106,632 is: 165,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,880 : 106,632 = 106,632 : x
  2. Step 2: Convert to fraction form
    68,880/106,632 = 106,632/x
  3. Step 3: Cross multiply
    68,880x = 106,632 × 106,632
  4. Step 4: Simplify right side
    68,880x = 11,370,383,424
  5. Step 5: Solve for x
    x = 11,370,383,424/68,880
  6. Step 6: Final answer
    x = 165,075.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.