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Finding the Third Proportional to 51,748.50 and 111,273

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Solution

The third proportional to 51,748.50 and 111,273 is: 239,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,748.50 : 111,273 = 111,273 : x
  2. Step 2: Convert to fraction form
    51,748.50/111,273 = 111,273/x
  3. Step 3: Cross multiply
    51,748.50x = 111,273 × 111,273
  4. Step 4: Simplify right side
    51,748.50x = 12,381,680,529
  5. Step 5: Solve for x
    x = 12,381,680,529/51,748.50
  6. Step 6: Final answer
    x = 239,266.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.