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Finding the Third Proportional to 75.38 and 115.31

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Solution

The third proportional to 75.38 and 115.31 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 115.31 = 115.31 : x
  2. Step 2: Convert to fraction form
    75.38/115.31 = 115.31/x
  3. Step 3: Cross multiply
    75.38x = 115.31 × 115.31
  4. Step 4: Simplify right side
    75.38x = 13,296.97
  5. Step 5: Solve for x
    x = 13,296.97/75.38
  6. Step 6: Final answer
    x = 176.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.