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Finding the Third Proportional to 51,227 and 118,550

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Solution

The third proportional to 51,227 and 118,550 is: 274,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,227 : 118,550 = 118,550 : x
  2. Step 2: Convert to fraction form
    51,227/118,550 = 118,550/x
  3. Step 3: Cross multiply
    51,227x = 118,550 × 118,550
  4. Step 4: Simplify right side
    51,227x = 14,054,102,500
  5. Step 5: Solve for x
    x = 14,054,102,500/51,227
  6. Step 6: Final answer
    x = 274,349.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.