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Finding the Third Proportional to 32,134 and 71,149

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Solution

The third proportional to 32,134 and 71,149 is: 157,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134 : 71,149 = 71,149 : x
  2. Step 2: Convert to fraction form
    32,134/71,149 = 71,149/x
  3. Step 3: Cross multiply
    32,134x = 71,149 × 71,149
  4. Step 4: Simplify right side
    32,134x = 5,062,180,201
  5. Step 5: Solve for x
    x = 5,062,180,201/32,134
  6. Step 6: Final answer
    x = 157,533.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.