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Finding the Third Proportional to 94.92 and 138.59

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Solution

The third proportional to 94.92 and 138.59 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 138.59 = 138.59 : x
  2. Step 2: Convert to fraction form
    94.92/138.59 = 138.59/x
  3. Step 3: Cross multiply
    94.92x = 138.59 × 138.59
  4. Step 4: Simplify right side
    94.92x = 19,206.06
  5. Step 5: Solve for x
    x = 19,206.06/94.92
  6. Step 6: Final answer
    x = 202.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.