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Finding the Third Proportional to 48,150 and 115,997.63

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Solution

The third proportional to 48,150 and 115,997.63 is: 279,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,150 : 115,997.63 = 115,997.63 : x
  2. Step 2: Convert to fraction form
    48,150/115,997.63 = 115,997.63/x
  3. Step 3: Cross multiply
    48,150x = 115,997.63 × 115,997.63
  4. Step 4: Simplify right side
    48,150x = 13,455,449,005.64
  5. Step 5: Solve for x
    x = 13,455,449,005.64/48,150
  6. Step 6: Final answer
    x = 279,448.58

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.