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Finding the Third Proportional to 120,233.25 and 187,628.63

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Solution

The third proportional to 120,233.25 and 187,628.63 is: 292,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,233.25 : 187,628.63 = 187,628.63 : x
  2. Step 2: Convert to fraction form
    120,233.25/187,628.63 = 187,628.63/x
  3. Step 3: Cross multiply
    120,233.25x = 187,628.63 × 187,628.63
  4. Step 4: Simplify right side
    120,233.25x = 35,204,500,919.39
  5. Step 5: Solve for x
    x = 35,204,500,919.39/120,233.25
  6. Step 6: Final answer
    x = 292,801.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.