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Finding the Third Proportional to 65.06 and 132.09

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Solution

The third proportional to 65.06 and 132.09 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 132.09 = 132.09 : x
  2. Step 2: Convert to fraction form
    65.06/132.09 = 132.09/x
  3. Step 3: Cross multiply
    65.06x = 132.09 × 132.09
  4. Step 4: Simplify right side
    65.06x = 17,448.76
  5. Step 5: Solve for x
    x = 17,448.76/65.06
  6. Step 6: Final answer
    x = 268.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.