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Finding the Third Proportional to 73,452 and 106,722

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Solution

The third proportional to 73,452 and 106,722 is: 155,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,452 : 106,722 = 106,722 : x
  2. Step 2: Convert to fraction form
    73,452/106,722 = 106,722/x
  3. Step 3: Cross multiply
    73,452x = 106,722 × 106,722
  4. Step 4: Simplify right side
    73,452x = 11,389,585,284
  5. Step 5: Solve for x
    x = 11,389,585,284/73,452
  6. Step 6: Final answer
    x = 155,061.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.