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Finding the Third Proportional to 75.52 and 113.48

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Solution

The third proportional to 75.52 and 113.48 is: 170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.52 : 113.48 = 113.48 : x
  2. Step 2: Convert to fraction form
    75.52/113.48 = 113.48/x
  3. Step 3: Cross multiply
    75.52x = 113.48 × 113.48
  4. Step 4: Simplify right side
    75.52x = 12,878.70
  5. Step 5: Solve for x
    x = 12,878.70/75.52
  6. Step 6: Final answer
    x = 170.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.