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Finding the Third Proportional to 55.53 and 113.19

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Solution

The third proportional to 55.53 and 113.19 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.53 : 113.19 = 113.19 : x
  2. Step 2: Convert to fraction form
    55.53/113.19 = 113.19/x
  3. Step 3: Cross multiply
    55.53x = 113.19 × 113.19
  4. Step 4: Simplify right side
    55.53x = 12,812.96
  5. Step 5: Solve for x
    x = 12,812.96/55.53
  6. Step 6: Final answer
    x = 230.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.