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Finding the Third Proportional to 45.15 and 106.43

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Solution

The third proportional to 45.15 and 106.43 is: 250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.15 : 106.43 = 106.43 : x
  2. Step 2: Convert to fraction form
    45.15/106.43 = 106.43/x
  3. Step 3: Cross multiply
    45.15x = 106.43 × 106.43
  4. Step 4: Simplify right side
    45.15x = 11,327.59
  5. Step 5: Solve for x
    x = 11,327.59/45.15
  6. Step 6: Final answer
    x = 250.90

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.