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Finding the Third Proportional to 101.25 and 212.25

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Solution

The third proportional to 101.25 and 212.25 is: 444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 212.25 = 212.25 : x
  2. Step 2: Convert to fraction form
    101.25/212.25 = 212.25/x
  3. Step 3: Cross multiply
    101.25x = 212.25 × 212.25
  4. Step 4: Simplify right side
    101.25x = 45,050.06
  5. Step 5: Solve for x
    x = 45,050.06/101.25
  6. Step 6: Final answer
    x = 444.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.