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Finding the Third Proportional to 120,845.75 and 186,736.25

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Solution

The third proportional to 120,845.75 and 186,736.25 is: 288,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,845.75 : 186,736.25 = 186,736.25 : x
  2. Step 2: Convert to fraction form
    120,845.75/186,736.25 = 186,736.25/x
  3. Step 3: Cross multiply
    120,845.75x = 186,736.25 × 186,736.25
  4. Step 4: Simplify right side
    120,845.75x = 34,870,427,064.06
  5. Step 5: Solve for x
    x = 34,870,427,064.06/120,845.75
  6. Step 6: Final answer
    x = 288,553.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.