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Finding the Third Proportional to 122,450 and 185,523

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Solution

The third proportional to 122,450 and 185,523 is: 281,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,450 : 185,523 = 185,523 : x
  2. Step 2: Convert to fraction form
    122,450/185,523 = 185,523/x
  3. Step 3: Cross multiply
    122,450x = 185,523 × 185,523
  4. Step 4: Simplify right side
    122,450x = 34,418,783,529
  5. Step 5: Solve for x
    x = 34,418,783,529/122,450
  6. Step 6: Final answer
    x = 281,084.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.