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Finding the Third Proportional to 113.53 and 175.70

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Solution

The third proportional to 113.53 and 175.70 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 175.70 = 175.70 : x
  2. Step 2: Convert to fraction form
    113.53/175.70 = 175.70/x
  3. Step 3: Cross multiply
    113.53x = 175.70 × 175.70
  4. Step 4: Simplify right side
    113.53x = 30,869.85
  5. Step 5: Solve for x
    x = 30,869.85/113.53
  6. Step 6: Final answer
    x = 271.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.