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Finding the Third Proportional to 46,170 and 67,149

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Solution

The third proportional to 46,170 and 67,149 is: 97,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 67,149 = 67,149 : x
  2. Step 2: Convert to fraction form
    46,170/67,149 = 67,149/x
  3. Step 3: Cross multiply
    46,170x = 67,149 × 67,149
  4. Step 4: Simplify right side
    46,170x = 4,508,988,201
  5. Step 5: Solve for x
    x = 4,508,988,201/46,170
  6. Step 6: Final answer
    x = 97,660.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.