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Finding the Third Proportional to 102.38 and 138.94

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Solution

The third proportional to 102.38 and 138.94 is: 188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.38 : 138.94 = 138.94 : x
  2. Step 2: Convert to fraction form
    102.38/138.94 = 138.94/x
  3. Step 3: Cross multiply
    102.38x = 138.94 × 138.94
  4. Step 4: Simplify right side
    102.38x = 19,303.63
  5. Step 5: Solve for x
    x = 19,303.63/102.38
  6. Step 6: Final answer
    x = 188.56

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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.