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Finding the Third Proportional to 48,879 and 73,102

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Solution

The third proportional to 48,879 and 73,102 is: 109,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,879 : 73,102 = 73,102 : x
  2. Step 2: Convert to fraction form
    48,879/73,102 = 73,102/x
  3. Step 3: Cross multiply
    48,879x = 73,102 × 73,102
  4. Step 4: Simplify right side
    48,879x = 5,343,902,404
  5. Step 5: Solve for x
    x = 5,343,902,404/48,879
  6. Step 6: Final answer
    x = 109,329.21

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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.