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Finding the Third Proportional to 48,901 and 73,898

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Solution

The third proportional to 48,901 and 73,898 is: 111,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901 : 73,898 = 73,898 : x
  2. Step 2: Convert to fraction form
    48,901/73,898 = 73,898/x
  3. Step 3: Cross multiply
    48,901x = 73,898 × 73,898
  4. Step 4: Simplify right side
    48,901x = 5,460,914,404
  5. Step 5: Solve for x
    x = 5,460,914,404/48,901
  6. Step 6: Final answer
    x = 111,672.86

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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.