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Finding the Third Proportional to 75 and 88

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Solution

The third proportional to 75 and 88 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 88 = 88 : x
  2. Step 2: Convert to fraction form
    75/88 = 88/x
  3. Step 3: Cross multiply
    75x = 88 × 88
  4. Step 4: Simplify right side
    75x = 7,744
  5. Step 5: Solve for x
    x = 7,744/75
  6. Step 6: Final answer
    x = 103.25

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.