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Finding the Third Proportional to 102,818 and 150,366

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Solution

The third proportional to 102,818 and 150,366 is: 219,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,818 : 150,366 = 150,366 : x
  2. Step 2: Convert to fraction form
    102,818/150,366 = 150,366/x
  3. Step 3: Cross multiply
    102,818x = 150,366 × 150,366
  4. Step 4: Simplify right side
    102,818x = 22,609,933,956
  5. Step 5: Solve for x
    x = 22,609,933,956/102,818
  6. Step 6: Final answer
    x = 219,902.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.