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Finding the Third Proportional to 75.38 and 102.94

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Solution

The third proportional to 75.38 and 102.94 is: 140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 102.94 = 102.94 : x
  2. Step 2: Convert to fraction form
    75.38/102.94 = 102.94/x
  3. Step 3: Cross multiply
    75.38x = 102.94 × 102.94
  4. Step 4: Simplify right side
    75.38x = 10,596.13
  5. Step 5: Solve for x
    x = 10,596.13/75.38
  6. Step 6: Final answer
    x = 140.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.