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Finding the Third Proportional to 62,436 and 111,012

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Solution

The third proportional to 62,436 and 111,012 is: 197,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,436 : 111,012 = 111,012 : x
  2. Step 2: Convert to fraction form
    62,436/111,012 = 111,012/x
  3. Step 3: Cross multiply
    62,436x = 111,012 × 111,012
  4. Step 4: Simplify right side
    62,436x = 12,323,664,144
  5. Step 5: Solve for x
    x = 12,323,664,144/62,436
  6. Step 6: Final answer
    x = 197,380.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.