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Finding the Third Proportional to 49,901 and 74,845

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Solution

The third proportional to 49,901 and 74,845 is: 112,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901 : 74,845 = 74,845 : x
  2. Step 2: Convert to fraction form
    49,901/74,845 = 74,845/x
  3. Step 3: Cross multiply
    49,901x = 74,845 × 74,845
  4. Step 4: Simplify right side
    49,901x = 5,601,774,025
  5. Step 5: Solve for x
    x = 5,601,774,025/49,901
  6. Step 6: Final answer
    x = 112,257.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.