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Finding the Third Proportional to 124.88 and 272.44

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Solution

The third proportional to 124.88 and 272.44 is: 594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.88 : 272.44 = 272.44 : x
  2. Step 2: Convert to fraction form
    124.88/272.44 = 272.44/x
  3. Step 3: Cross multiply
    124.88x = 272.44 × 272.44
  4. Step 4: Simplify right side
    124.88x = 74,222.19
  5. Step 5: Solve for x
    x = 74,222.19/124.88
  6. Step 6: Final answer
    x = 594.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.