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Finding the Third Proportional to 48,899 and 73,321

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Solution

The third proportional to 48,899 and 73,321 is: 109,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,899 : 73,321 = 73,321 : x
  2. Step 2: Convert to fraction form
    48,899/73,321 = 73,321/x
  3. Step 3: Cross multiply
    48,899x = 73,321 × 73,321
  4. Step 4: Simplify right side
    48,899x = 5,375,969,041
  5. Step 5: Solve for x
    x = 5,375,969,041/48,899
  6. Step 6: Final answer
    x = 109,940.27

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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.