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Finding the Third Proportional to 48,615 and 104,817

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Solution

The third proportional to 48,615 and 104,817 is: 225,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,615 : 104,817 = 104,817 : x
  2. Step 2: Convert to fraction form
    48,615/104,817 = 104,817/x
  3. Step 3: Cross multiply
    48,615x = 104,817 × 104,817
  4. Step 4: Simplify right side
    48,615x = 10,986,603,489
  5. Step 5: Solve for x
    x = 10,986,603,489/48,615
  6. Step 6: Final answer
    x = 225,992.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.