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Finding the Third Proportional to 49,501 and 74,675

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Solution

The third proportional to 49,501 and 74,675 is: 112,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,501 : 74,675 = 74,675 : x
  2. Step 2: Convert to fraction form
    49,501/74,675 = 74,675/x
  3. Step 3: Cross multiply
    49,501x = 74,675 × 74,675
  4. Step 4: Simplify right side
    49,501x = 5,576,355,625
  5. Step 5: Solve for x
    x = 5,576,355,625/49,501
  6. Step 6: Final answer
    x = 112,651.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.