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Finding the Third Proportional to 71,609 and 149,101

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Solution

The third proportional to 71,609 and 149,101 is: 310,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,609 : 149,101 = 149,101 : x
  2. Step 2: Convert to fraction form
    71,609/149,101 = 149,101/x
  3. Step 3: Cross multiply
    71,609x = 149,101 × 149,101
  4. Step 4: Simplify right side
    71,609x = 22,231,108,201
  5. Step 5: Solve for x
    x = 22,231,108,201/71,609
  6. Step 6: Final answer
    x = 310,451.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.