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Finding the Third Proportional to 75 and 111

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Solution

The third proportional to 75 and 111 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 111 = 111 : x
  2. Step 2: Convert to fraction form
    75/111 = 111/x
  3. Step 3: Cross multiply
    75x = 111 × 111
  4. Step 4: Simplify right side
    75x = 12,321
  5. Step 5: Solve for x
    x = 12,321/75
  6. Step 6: Final answer
    x = 164.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.