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Finding the Third Proportional to 102,228 and 155,186

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Solution

The third proportional to 102,228 and 155,186 is: 235,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,228 : 155,186 = 155,186 : x
  2. Step 2: Convert to fraction form
    102,228/155,186 = 155,186/x
  3. Step 3: Cross multiply
    102,228x = 155,186 × 155,186
  4. Step 4: Simplify right side
    102,228x = 24,082,694,596
  5. Step 5: Solve for x
    x = 24,082,694,596/102,228
  6. Step 6: Final answer
    x = 235,578.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.