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Finding the Third Proportional to 65,114 and 132,039

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Solution

The third proportional to 65,114 and 132,039 is: 267,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114 : 132,039 = 132,039 : x
  2. Step 2: Convert to fraction form
    65,114/132,039 = 132,039/x
  3. Step 3: Cross multiply
    65,114x = 132,039 × 132,039
  4. Step 4: Simplify right side
    65,114x = 17,434,297,521
  5. Step 5: Solve for x
    x = 17,434,297,521/65,114
  6. Step 6: Final answer
    x = 267,750.37

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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.