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Finding the Third Proportional to 48,249.56 and 106,315.31

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Solution

The third proportional to 48,249.56 and 106,315.31 is: 234,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,249.56 : 106,315.31 = 106,315.31 : x
  2. Step 2: Convert to fraction form
    48,249.56/106,315.31 = 106,315.31/x
  3. Step 3: Cross multiply
    48,249.56x = 106,315.31 × 106,315.31
  4. Step 4: Simplify right side
    48,249.56x = 11,302,945,671.97
  5. Step 5: Solve for x
    x = 11,302,945,671.97/48,249.56
  6. Step 6: Final answer
    x = 234,260.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.