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Finding the Third Proportional to 124.56 and 264.41

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Solution

The third proportional to 124.56 and 264.41 is: 561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 264.41 = 264.41 : x
  2. Step 2: Convert to fraction form
    124.56/264.41 = 264.41/x
  3. Step 3: Cross multiply
    124.56x = 264.41 × 264.41
  4. Step 4: Simplify right side
    124.56x = 69,912.73
  5. Step 5: Solve for x
    x = 69,912.73/124.56
  6. Step 6: Final answer
    x = 561.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.