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Finding the Third Proportional to 75.50 and 132.25

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Solution

The third proportional to 75.50 and 132.25 is: 231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 132.25 = 132.25 : x
  2. Step 2: Convert to fraction form
    75.50/132.25 = 132.25/x
  3. Step 3: Cross multiply
    75.50x = 132.25 × 132.25
  4. Step 4: Simplify right side
    75.50x = 17,490.06
  5. Step 5: Solve for x
    x = 17,490.06/75.50
  6. Step 6: Final answer
    x = 231.66

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.