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Finding the Third Proportional to 37,404 and 80,753

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Solution

The third proportional to 37,404 and 80,753 is: 174,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,404 : 80,753 = 80,753 : x
  2. Step 2: Convert to fraction form
    37,404/80,753 = 80,753/x
  3. Step 3: Cross multiply
    37,404x = 80,753 × 80,753
  4. Step 4: Simplify right side
    37,404x = 6,521,047,009
  5. Step 5: Solve for x
    x = 6,521,047,009/37,404
  6. Step 6: Final answer
    x = 174,340.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.