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Finding the Third Proportional to 65.11 and 95.77

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Solution

The third proportional to 65.11 and 95.77 is: 140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 95.77 = 95.77 : x
  2. Step 2: Convert to fraction form
    65.11/95.77 = 95.77/x
  3. Step 3: Cross multiply
    65.11x = 95.77 × 95.77
  4. Step 4: Simplify right side
    65.11x = 9,171.05
  5. Step 5: Solve for x
    x = 9,171.05/65.11
  6. Step 6: Final answer
    x = 140.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.