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Finding the Third Proportional to 71,508 and 166,254

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Solution

The third proportional to 71,508 and 166,254 is: 386,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,508 : 166,254 = 166,254 : x
  2. Step 2: Convert to fraction form
    71,508/166,254 = 166,254/x
  3. Step 3: Cross multiply
    71,508x = 166,254 × 166,254
  4. Step 4: Simplify right side
    71,508x = 27,640,392,516
  5. Step 5: Solve for x
    x = 27,640,392,516/71,508
  6. Step 6: Final answer
    x = 386,535.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.