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Finding the Third Proportional to 95.77 and 143.86

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Solution

The third proportional to 95.77 and 143.86 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.77 : 143.86 = 143.86 : x
  2. Step 2: Convert to fraction form
    95.77/143.86 = 143.86/x
  3. Step 3: Cross multiply
    95.77x = 143.86 × 143.86
  4. Step 4: Simplify right side
    95.77x = 20,695.52
  5. Step 5: Solve for x
    x = 20,695.52/95.77
  6. Step 6: Final answer
    x = 216.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.