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Finding the Third Proportional to 75.25 and 115.75

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Solution

The third proportional to 75.25 and 115.75 is: 178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.25 : 115.75 = 115.75 : x
  2. Step 2: Convert to fraction form
    75.25/115.75 = 115.75/x
  3. Step 3: Cross multiply
    75.25x = 115.75 × 115.75
  4. Step 4: Simplify right side
    75.25x = 13,398.06
  5. Step 5: Solve for x
    x = 13,398.06/75.25
  6. Step 6: Final answer
    x = 178.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.