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Finding the Third Proportional to 76.13 and 113.94

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Solution

The third proportional to 76.13 and 113.94 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 113.94 = 113.94 : x
  2. Step 2: Convert to fraction form
    76.13/113.94 = 113.94/x
  3. Step 3: Cross multiply
    76.13x = 113.94 × 113.94
  4. Step 4: Simplify right side
    76.13x = 12,981.75
  5. Step 5: Solve for x
    x = 12,981.75/76.13
  6. Step 6: Final answer
    x = 170.53

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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.