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Finding the Third Proportional to 77.06 and 102.94

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Solution

The third proportional to 77.06 and 102.94 is: 137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 102.94 = 102.94 : x
  2. Step 2: Convert to fraction form
    77.06/102.94 = 102.94/x
  3. Step 3: Cross multiply
    77.06x = 102.94 × 102.94
  4. Step 4: Simplify right side
    77.06x = 10,596.13
  5. Step 5: Solve for x
    x = 10,596.13/77.06
  6. Step 6: Final answer
    x = 137.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.