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Finding the Third Proportional to 75.75 and 116.25

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Solution

The third proportional to 75.75 and 116.25 is: 178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.75 : 116.25 = 116.25 : x
  2. Step 2: Convert to fraction form
    75.75/116.25 = 116.25/x
  3. Step 3: Cross multiply
    75.75x = 116.25 × 116.25
  4. Step 4: Simplify right side
    75.75x = 13,514.06
  5. Step 5: Solve for x
    x = 13,514.06/75.75
  6. Step 6: Final answer
    x = 178.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.