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Finding the Third Proportional to 52,333 and 109,093

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Solution

The third proportional to 52,333 and 109,093 is: 227,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,333 : 109,093 = 109,093 : x
  2. Step 2: Convert to fraction form
    52,333/109,093 = 109,093/x
  3. Step 3: Cross multiply
    52,333x = 109,093 × 109,093
  4. Step 4: Simplify right side
    52,333x = 11,901,282,649
  5. Step 5: Solve for x
    x = 11,901,282,649/52,333
  6. Step 6: Final answer
    x = 227,414.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.