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Finding the Third Proportional to 106,845.75 and 169,187.25

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Solution

The third proportional to 106,845.75 and 169,187.25 is: 267,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,845.75 : 169,187.25 = 169,187.25 : x
  2. Step 2: Convert to fraction form
    106,845.75/169,187.25 = 169,187.25/x
  3. Step 3: Cross multiply
    106,845.75x = 169,187.25 × 169,187.25
  4. Step 4: Simplify right side
    106,845.75x = 28,624,325,562.56
  5. Step 5: Solve for x
    x = 28,624,325,562.56/106,845.75
  6. Step 6: Final answer
    x = 267,903.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.