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Finding the Third Proportional to 48,586 and 105,860

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Solution

The third proportional to 48,586 and 105,860 is: 230,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,586 : 105,860 = 105,860 : x
  2. Step 2: Convert to fraction form
    48,586/105,860 = 105,860/x
  3. Step 3: Cross multiply
    48,586x = 105,860 × 105,860
  4. Step 4: Simplify right side
    48,586x = 11,206,339,600
  5. Step 5: Solve for x
    x = 11,206,339,600/48,586
  6. Step 6: Final answer
    x = 230,649.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.