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Finding the Third Proportional to 124.88 and 214.44

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Solution

The third proportional to 124.88 and 214.44 is: 368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.88 : 214.44 = 214.44 : x
  2. Step 2: Convert to fraction form
    124.88/214.44 = 214.44/x
  3. Step 3: Cross multiply
    124.88x = 214.44 × 214.44
  4. Step 4: Simplify right side
    124.88x = 45,983.44
  5. Step 5: Solve for x
    x = 45,983.44/124.88
  6. Step 6: Final answer
    x = 368.24

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.