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Finding the Third Proportional to 65.16 and 138.09

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Solution

The third proportional to 65.16 and 138.09 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 138.09 = 138.09 : x
  2. Step 2: Convert to fraction form
    65.16/138.09 = 138.09/x
  3. Step 3: Cross multiply
    65.16x = 138.09 × 138.09
  4. Step 4: Simplify right side
    65.16x = 19,069.88
  5. Step 5: Solve for x
    x = 19,069.88/65.16
  6. Step 6: Final answer
    x = 292.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.