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Finding the Third Proportional to 65.81 and 97.94

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Solution

The third proportional to 65.81 and 97.94 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 97.94 = 97.94 : x
  2. Step 2: Convert to fraction form
    65.81/97.94 = 97.94/x
  3. Step 3: Cross multiply
    65.81x = 97.94 × 97.94
  4. Step 4: Simplify right side
    65.81x = 9,591.75
  5. Step 5: Solve for x
    x = 9,591.75/65.81
  6. Step 6: Final answer
    x = 145.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.