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Finding the Third Proportional to 74.50 and 132.50

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Solution

The third proportional to 74.50 and 132.50 is: 235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 132.50 = 132.50 : x
  2. Step 2: Convert to fraction form
    74.50/132.50 = 132.50/x
  3. Step 3: Cross multiply
    74.50x = 132.50 × 132.50
  4. Step 4: Simplify right side
    74.50x = 17,556.25
  5. Step 5: Solve for x
    x = 17,556.25/74.50
  6. Step 6: Final answer
    x = 235.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.