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Finding the Third Proportional to 94 and 138

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Solution

The third proportional to 94 and 138 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94 : 138 = 138 : x
  2. Step 2: Convert to fraction form
    94/138 = 138/x
  3. Step 3: Cross multiply
    94x = 138 × 138
  4. Step 4: Simplify right side
    94x = 19,044
  5. Step 5: Solve for x
    x = 19,044/94
  6. Step 6: Final answer
    x = 202.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.