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Finding the Third Proportional to 45 and 109.13

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Solution

The third proportional to 45 and 109.13 is: 264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 109.13 = 109.13 : x
  2. Step 2: Convert to fraction form
    45/109.13 = 109.13/x
  3. Step 3: Cross multiply
    45x = 109.13 × 109.13
  4. Step 4: Simplify right side
    45x = 11,908.27
  5. Step 5: Solve for x
    x = 11,908.27/45
  6. Step 6: Final answer
    x = 264.63

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.