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Finding the Third Proportional to 49,227 and 75,759

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Solution

The third proportional to 49,227 and 75,759 is: 116,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,227 : 75,759 = 75,759 : x
  2. Step 2: Convert to fraction form
    49,227/75,759 = 75,759/x
  3. Step 3: Cross multiply
    49,227x = 75,759 × 75,759
  4. Step 4: Simplify right side
    49,227x = 5,739,426,081
  5. Step 5: Solve for x
    x = 5,739,426,081/49,227
  6. Step 6: Final answer
    x = 116,591.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.