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Finding the Third Proportional to 75.94 and 131.75

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Solution

The third proportional to 75.94 and 131.75 is: 228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 131.75 = 131.75 : x
  2. Step 2: Convert to fraction form
    75.94/131.75 = 131.75/x
  3. Step 3: Cross multiply
    75.94x = 131.75 × 131.75
  4. Step 4: Simplify right side
    75.94x = 17,358.06
  5. Step 5: Solve for x
    x = 17,358.06/75.94
  6. Step 6: Final answer
    x = 228.58

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.