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Finding the Third Proportional to 71,326 and 150,609

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Solution

The third proportional to 71,326 and 150,609 is: 318,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326 : 150,609 = 150,609 : x
  2. Step 2: Convert to fraction form
    71,326/150,609 = 150,609/x
  3. Step 3: Cross multiply
    71,326x = 150,609 × 150,609
  4. Step 4: Simplify right side
    71,326x = 22,683,070,881
  5. Step 5: Solve for x
    x = 22,683,070,881/71,326
  6. Step 6: Final answer
    x = 318,019.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.