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Finding the Third Proportional to 34,244 and 73,582

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Solution

The third proportional to 34,244 and 73,582 is: 158,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,244 : 73,582 = 73,582 : x
  2. Step 2: Convert to fraction form
    34,244/73,582 = 73,582/x
  3. Step 3: Cross multiply
    34,244x = 73,582 × 73,582
  4. Step 4: Simplify right side
    34,244x = 5,414,310,724
  5. Step 5: Solve for x
    x = 5,414,310,724/34,244
  6. Step 6: Final answer
    x = 158,109.76

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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.