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Finding the Third Proportional to 48,650 and 104,805

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Solution

The third proportional to 48,650 and 104,805 is: 225,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,650 : 104,805 = 104,805 : x
  2. Step 2: Convert to fraction form
    48,650/104,805 = 104,805/x
  3. Step 3: Cross multiply
    48,650x = 104,805 × 104,805
  4. Step 4: Simplify right side
    48,650x = 10,984,088,025
  5. Step 5: Solve for x
    x = 10,984,088,025/48,650
  6. Step 6: Final answer
    x = 225,777.76

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Why These Related Problems?

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