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Finding the Third Proportional to 51,486 and 120,280

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Solution

The third proportional to 51,486 and 120,280 is: 280,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,486 : 120,280 = 120,280 : x
  2. Step 2: Convert to fraction form
    51,486/120,280 = 120,280/x
  3. Step 3: Cross multiply
    51,486x = 120,280 × 120,280
  4. Step 4: Simplify right side
    51,486x = 14,467,278,400
  5. Step 5: Solve for x
    x = 14,467,278,400/51,486
  6. Step 6: Final answer
    x = 280,994.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.