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Finding the Third Proportional to 77.88 and 118

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Solution

The third proportional to 77.88 and 118 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.88 : 118 = 118 : x
  2. Step 2: Convert to fraction form
    77.88/118 = 118/x
  3. Step 3: Cross multiply
    77.88x = 118 × 118
  4. Step 4: Simplify right side
    77.88x = 13,924
  5. Step 5: Solve for x
    x = 13,924/77.88
  6. Step 6: Final answer
    x = 178.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.