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Finding the Third Proportional to 65.94 and 94.06

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Solution

The third proportional to 65.94 and 94.06 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 94.06 = 94.06 : x
  2. Step 2: Convert to fraction form
    65.94/94.06 = 94.06/x
  3. Step 3: Cross multiply
    65.94x = 94.06 × 94.06
  4. Step 4: Simplify right side
    65.94x = 8,847.75
  5. Step 5: Solve for x
    x = 8,847.75/65.94
  6. Step 6: Final answer
    x = 134.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.