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Finding the Third Proportional to 39,615 and 88,086

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Solution

The third proportional to 39,615 and 88,086 is: 195,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,615 : 88,086 = 88,086 : x
  2. Step 2: Convert to fraction form
    39,615/88,086 = 88,086/x
  3. Step 3: Cross multiply
    39,615x = 88,086 × 88,086
  4. Step 4: Simplify right side
    39,615x = 7,759,143,396
  5. Step 5: Solve for x
    x = 7,759,143,396/39,615
  6. Step 6: Final answer
    x = 195,863.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.