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Finding the Third Proportional to 101.33 and 137.64

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Solution

The third proportional to 101.33 and 137.64 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.33 : 137.64 = 137.64 : x
  2. Step 2: Convert to fraction form
    101.33/137.64 = 137.64/x
  3. Step 3: Cross multiply
    101.33x = 137.64 × 137.64
  4. Step 4: Simplify right side
    101.33x = 18,943.87
  5. Step 5: Solve for x
    x = 18,943.87/101.33
  6. Step 6: Final answer
    x = 186.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.