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Finding the Third Proportional to 75,236 and 168,296

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Solution

The third proportional to 75,236 and 168,296 is: 376,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,236 : 168,296 = 168,296 : x
  2. Step 2: Convert to fraction form
    75,236/168,296 = 168,296/x
  3. Step 3: Cross multiply
    75,236x = 168,296 × 168,296
  4. Step 4: Simplify right side
    75,236x = 28,323,543,616
  5. Step 5: Solve for x
    x = 28,323,543,616/75,236
  6. Step 6: Final answer
    x = 376,462.65

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.