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Finding the Third Proportional to 48,494 and 72,777

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Solution

The third proportional to 48,494 and 72,777 is: 109,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494 : 72,777 = 72,777 : x
  2. Step 2: Convert to fraction form
    48,494/72,777 = 72,777/x
  3. Step 3: Cross multiply
    48,494x = 72,777 × 72,777
  4. Step 4: Simplify right side
    48,494x = 5,296,491,729
  5. Step 5: Solve for x
    x = 5,296,491,729/48,494
  6. Step 6: Final answer
    x = 109,219.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.