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Finding the Third Proportional to 95,920 and 202,752

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Solution

The third proportional to 95,920 and 202,752 is: 428,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,920 : 202,752 = 202,752 : x
  2. Step 2: Convert to fraction form
    95,920/202,752 = 202,752/x
  3. Step 3: Cross multiply
    95,920x = 202,752 × 202,752
  4. Step 4: Simplify right side
    95,920x = 41,108,373,504
  5. Step 5: Solve for x
    x = 41,108,373,504/95,920
  6. Step 6: Final answer
    x = 428,569.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.