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Finding the Third Proportional to 65.86 and 94.87

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Solution

The third proportional to 65.86 and 94.87 is: 136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.86 : 94.87 = 94.87 : x
  2. Step 2: Convert to fraction form
    65.86/94.87 = 94.87/x
  3. Step 3: Cross multiply
    65.86x = 94.87 × 94.87
  4. Step 4: Simplify right side
    65.86x = 9,000.15
  5. Step 5: Solve for x
    x = 9,000.15/65.86
  6. Step 6: Final answer
    x = 136.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.