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Finding the Third Proportional to 48,586 and 73,219

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Solution

The third proportional to 48,586 and 73,219 is: 110,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586 : 73,219 = 73,219 : x
  2. Step 2: Convert to fraction form
    48,586/73,219 = 73,219/x
  3. Step 3: Cross multiply
    48,586x = 73,219 × 73,219
  4. Step 4: Simplify right side
    48,586x = 5,361,021,961
  5. Step 5: Solve for x
    x = 5,361,021,961/48,586
  6. Step 6: Final answer
    x = 110,340.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.