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Finding the Third Proportional to 95.04 and 145.82

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Solution

The third proportional to 95.04 and 145.82 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.04 : 145.82 = 145.82 : x
  2. Step 2: Convert to fraction form
    95.04/145.82 = 145.82/x
  3. Step 3: Cross multiply
    95.04x = 145.82 × 145.82
  4. Step 4: Simplify right side
    95.04x = 21,264.56
  5. Step 5: Solve for x
    x = 21,264.56/95.04
  6. Step 6: Final answer
    x = 223.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.