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Finding the Third Proportional to 46,086 and 69,165

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Solution

The third proportional to 46,086 and 69,165 is: 103,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,086 : 69,165 = 69,165 : x
  2. Step 2: Convert to fraction form
    46,086/69,165 = 69,165/x
  3. Step 3: Cross multiply
    46,086x = 69,165 × 69,165
  4. Step 4: Simplify right side
    46,086x = 4,783,797,225
  5. Step 5: Solve for x
    x = 4,783,797,225/46,086
  6. Step 6: Final answer
    x = 103,801.53

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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.