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Finding the Third Proportional to 120.39 and 187.15

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Solution

The third proportional to 120.39 and 187.15 is: 290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 187.15 = 187.15 : x
  2. Step 2: Convert to fraction form
    120.39/187.15 = 187.15/x
  3. Step 3: Cross multiply
    120.39x = 187.15 × 187.15
  4. Step 4: Simplify right side
    120.39x = 35,026.73
  5. Step 5: Solve for x
    x = 35,026.73/120.39
  6. Step 6: Final answer
    x = 290.94

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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.