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Finding the Third Proportional to 65,103.75 and 132,019.88

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Solution

The third proportional to 65,103.75 and 132,019.88 is: 267,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.75 : 132,019.88 = 132,019.88 : x
  2. Step 2: Convert to fraction form
    65,103.75/132,019.88 = 132,019.88/x
  3. Step 3: Cross multiply
    65,103.75x = 132,019.88 × 132,019.88
  4. Step 4: Simplify right side
    65,103.75x = 17,429,247,395.02
  5. Step 5: Solve for x
    x = 17,429,247,395.02/65,103.75
  6. Step 6: Final answer
    x = 267,714.95

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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.