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Finding the Third Proportional to 103.75 and 135.88

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Solution

The third proportional to 103.75 and 135.88 is: 177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.75 : 135.88 = 135.88 : x
  2. Step 2: Convert to fraction form
    103.75/135.88 = 135.88/x
  3. Step 3: Cross multiply
    103.75x = 135.88 × 135.88
  4. Step 4: Simplify right side
    103.75x = 18,462.02
  5. Step 5: Solve for x
    x = 18,462.02/103.75
  6. Step 6: Final answer
    x = 177.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.