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Finding the Third Proportional to 95.06 and 151.78

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Solution

The third proportional to 95.06 and 151.78 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 151.78 = 151.78 : x
  2. Step 2: Convert to fraction form
    95.06/151.78 = 151.78/x
  3. Step 3: Cross multiply
    95.06x = 151.78 × 151.78
  4. Step 4: Simplify right side
    95.06x = 23,037.55
  5. Step 5: Solve for x
    x = 23,037.55/95.06
  6. Step 6: Final answer
    x = 242.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.