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Finding the Third Proportional to 71,450 and 156,723

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Solution

The third proportional to 71,450 and 156,723 is: 343,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,450 : 156,723 = 156,723 : x
  2. Step 2: Convert to fraction form
    71,450/156,723 = 156,723/x
  3. Step 3: Cross multiply
    71,450x = 156,723 × 156,723
  4. Step 4: Simplify right side
    71,450x = 24,562,098,729
  5. Step 5: Solve for x
    x = 24,562,098,729/71,450
  6. Step 6: Final answer
    x = 343,766.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.