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Finding the Third Proportional to 34,452 and 72,144

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Solution

The third proportional to 34,452 and 72,144 is: 151,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,452 : 72,144 = 72,144 : x
  2. Step 2: Convert to fraction form
    34,452/72,144 = 72,144/x
  3. Step 3: Cross multiply
    34,452x = 72,144 × 72,144
  4. Step 4: Simplify right side
    34,452x = 5,204,756,736
  5. Step 5: Solve for x
    x = 5,204,756,736/34,452
  6. Step 6: Final answer
    x = 151,072.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.