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Finding the Third Proportional to 135.75 and 199.25

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Solution

The third proportional to 135.75 and 199.25 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 199.25 = 199.25 : x
  2. Step 2: Convert to fraction form
    135.75/199.25 = 199.25/x
  3. Step 3: Cross multiply
    135.75x = 199.25 × 199.25
  4. Step 4: Simplify right side
    135.75x = 39,700.56
  5. Step 5: Solve for x
    x = 39,700.56/135.75
  6. Step 6: Final answer
    x = 292.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.