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Finding the Third Proportional to 73,269 and 157,734

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Solution

The third proportional to 73,269 and 157,734 is: 339,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,269 : 157,734 = 157,734 : x
  2. Step 2: Convert to fraction form
    73,269/157,734 = 157,734/x
  3. Step 3: Cross multiply
    73,269x = 157,734 × 157,734
  4. Step 4: Simplify right side
    73,269x = 24,880,014,756
  5. Step 5: Solve for x
    x = 24,880,014,756/73,269
  6. Step 6: Final answer
    x = 339,570.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.