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Finding the Third Proportional to 75.25 and 138.50

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Solution

The third proportional to 75.25 and 138.50 is: 254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.25 : 138.50 = 138.50 : x
  2. Step 2: Convert to fraction form
    75.25/138.50 = 138.50/x
  3. Step 3: Cross multiply
    75.25x = 138.50 × 138.50
  4. Step 4: Simplify right side
    75.25x = 19,182.25
  5. Step 5: Solve for x
    x = 19,182.25/75.25
  6. Step 6: Final answer
    x = 254.91

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.