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Finding the Third Proportional to 75.38 and 118.88

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Solution

The third proportional to 75.38 and 118.88 is: 187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 118.88 = 118.88 : x
  2. Step 2: Convert to fraction form
    75.38/118.88 = 118.88/x
  3. Step 3: Cross multiply
    75.38x = 118.88 × 118.88
  4. Step 4: Simplify right side
    75.38x = 14,131.27
  5. Step 5: Solve for x
    x = 14,131.27/75.38
  6. Step 6: Final answer
    x = 187.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.