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Finding the Third Proportional to 76.75 and 138.50

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Solution

The third proportional to 76.75 and 138.50 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 138.50 = 138.50 : x
  2. Step 2: Convert to fraction form
    76.75/138.50 = 138.50/x
  3. Step 3: Cross multiply
    76.75x = 138.50 × 138.50
  4. Step 4: Simplify right side
    76.75x = 19,182.25
  5. Step 5: Solve for x
    x = 19,182.25/76.75
  6. Step 6: Final answer
    x = 249.93

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.