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Finding the Third Proportional to 45.25 and 118.88

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Solution

The third proportional to 45.25 and 118.88 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.25 : 118.88 = 118.88 : x
  2. Step 2: Convert to fraction form
    45.25/118.88 = 118.88/x
  3. Step 3: Cross multiply
    45.25x = 118.88 × 118.88
  4. Step 4: Simplify right side
    45.25x = 14,131.27
  5. Step 5: Solve for x
    x = 14,131.27/45.25
  6. Step 6: Final answer
    x = 312.29

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.