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Finding the Third Proportional to 52,223 and 110,399

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Solution

The third proportional to 52,223 and 110,399 is: 233,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,223 : 110,399 = 110,399 : x
  2. Step 2: Convert to fraction form
    52,223/110,399 = 110,399/x
  3. Step 3: Cross multiply
    52,223x = 110,399 × 110,399
  4. Step 4: Simplify right side
    52,223x = 12,187,939,201
  5. Step 5: Solve for x
    x = 12,187,939,201/52,223
  6. Step 6: Final answer
    x = 233,382.59

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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.