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Finding the Third Proportional to 110,845.13 and 166,039.50

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Solution

The third proportional to 110,845.13 and 166,039.50 is: 248,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,845.13 : 166,039.50 = 166,039.50 : x
  2. Step 2: Convert to fraction form
    110,845.13/166,039.50 = 166,039.50/x
  3. Step 3: Cross multiply
    110,845.13x = 166,039.50 × 166,039.50
  4. Step 4: Simplify right side
    110,845.13x = 27,569,115,560.25
  5. Step 5: Solve for x
    x = 27,569,115,560.25/110,845.13
  6. Step 6: Final answer
    x = 248,717.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.