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Finding the Third Proportional to 113.50 and 134

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Solution

The third proportional to 113.50 and 134 is: 158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.50 : 134 = 134 : x
  2. Step 2: Convert to fraction form
    113.50/134 = 134/x
  3. Step 3: Cross multiply
    113.50x = 134 × 134
  4. Step 4: Simplify right side
    113.50x = 17,956
  5. Step 5: Solve for x
    x = 17,956/113.50
  6. Step 6: Final answer
    x = 158.20

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.