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Finding the Third Proportional to 93.26 and 138.82

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Solution

The third proportional to 93.26 and 138.82 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.26 : 138.82 = 138.82 : x
  2. Step 2: Convert to fraction form
    93.26/138.82 = 138.82/x
  3. Step 3: Cross multiply
    93.26x = 138.82 × 138.82
  4. Step 4: Simplify right side
    93.26x = 19,271.89
  5. Step 5: Solve for x
    x = 19,271.89/93.26
  6. Step 6: Final answer
    x = 206.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.