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Finding the Third Proportional to 75.38 and 114.94

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Solution

The third proportional to 75.38 and 114.94 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 114.94 = 114.94 : x
  2. Step 2: Convert to fraction form
    75.38/114.94 = 114.94/x
  3. Step 3: Cross multiply
    75.38x = 114.94 × 114.94
  4. Step 4: Simplify right side
    75.38x = 13,210.63
  5. Step 5: Solve for x
    x = 13,210.63/75.38
  6. Step 6: Final answer
    x = 175.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.