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Finding the Third Proportional to 65.11 and 137.67

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Solution

The third proportional to 65.11 and 137.67 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 137.67 = 137.67 : x
  2. Step 2: Convert to fraction form
    65.11/137.67 = 137.67/x
  3. Step 3: Cross multiply
    65.11x = 137.67 × 137.67
  4. Step 4: Simplify right side
    65.11x = 18,953.55
  5. Step 5: Solve for x
    x = 18,953.55/65.11
  6. Step 6: Final answer
    x = 291.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.