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Finding the Third Proportional to 65,950 and 159,544

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Solution

The third proportional to 65,950 and 159,544 is: 385,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,950 : 159,544 = 159,544 : x
  2. Step 2: Convert to fraction form
    65,950/159,544 = 159,544/x
  3. Step 3: Cross multiply
    65,950x = 159,544 × 159,544
  4. Step 4: Simplify right side
    65,950x = 25,454,287,936
  5. Step 5: Solve for x
    x = 25,454,287,936/65,950
  6. Step 6: Final answer
    x = 385,963.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.