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Finding the Third Proportional to 48,586 and 104,624

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Solution

The third proportional to 48,586 and 104,624 is: 225,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586 : 104,624 = 104,624 : x
  2. Step 2: Convert to fraction form
    48,586/104,624 = 104,624/x
  3. Step 3: Cross multiply
    48,586x = 104,624 × 104,624
  4. Step 4: Simplify right side
    48,586x = 10,946,181,376
  5. Step 5: Solve for x
    x = 10,946,181,376/48,586
  6. Step 6: Final answer
    x = 225,294.97

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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.