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Finding the Third Proportional to 75.75 and 89.25

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Solution

The third proportional to 75.75 and 89.25 is: 105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 89.25 = 89.25 : x
  2. Step 2: Convert to fraction form
    75.75/89.25 = 89.25/x
  3. Step 3: Cross multiply
    75.75x = 89.25 × 89.25
  4. Step 4: Simplify right side
    75.75x = 7,965.56
  5. Step 5: Solve for x
    x = 7,965.56/75.75
  6. Step 6: Final answer
    x = 105.16

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.