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Finding the Third Proportional to 65,500 and 133,752

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Solution

The third proportional to 65,500 and 133,752 is: 273,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,500 : 133,752 = 133,752 : x
  2. Step 2: Convert to fraction form
    65,500/133,752 = 133,752/x
  3. Step 3: Cross multiply
    65,500x = 133,752 × 133,752
  4. Step 4: Simplify right side
    65,500x = 17,889,597,504
  5. Step 5: Solve for x
    x = 17,889,597,504/65,500
  6. Step 6: Final answer
    x = 273,123.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.