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Finding the Third Proportional to 56.44 and 123.38

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Solution

The third proportional to 56.44 and 123.38 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.44 : 123.38 = 123.38 : x
  2. Step 2: Convert to fraction form
    56.44/123.38 = 123.38/x
  3. Step 3: Cross multiply
    56.44x = 123.38 × 123.38
  4. Step 4: Simplify right side
    56.44x = 15,221.39
  5. Step 5: Solve for x
    x = 15,221.39/56.44
  6. Step 6: Final answer
    x = 269.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.