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Finding the Third Proportional to 126 and 272.25

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Solution

The third proportional to 126 and 272.25 is: 588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 272.25 = 272.25 : x
  2. Step 2: Convert to fraction form
    126/272.25 = 272.25/x
  3. Step 3: Cross multiply
    126x = 272.25 × 272.25
  4. Step 4: Simplify right side
    126x = 74,120.06
  5. Step 5: Solve for x
    x = 74,120.06/126
  6. Step 6: Final answer
    x = 588.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.