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Finding the Third Proportional to 51,562 and 109,225

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Solution

The third proportional to 51,562 and 109,225 is: 231,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,562 : 109,225 = 109,225 : x
  2. Step 2: Convert to fraction form
    51,562/109,225 = 109,225/x
  3. Step 3: Cross multiply
    51,562x = 109,225 × 109,225
  4. Step 4: Simplify right side
    51,562x = 11,930,100,625
  5. Step 5: Solve for x
    x = 11,930,100,625/51,562
  6. Step 6: Final answer
    x = 231,373.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.