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Finding the Third Proportional to 65,684 and 96,197

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Solution

The third proportional to 65,684 and 96,197 is: 140,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684 : 96,197 = 96,197 : x
  2. Step 2: Convert to fraction form
    65,684/96,197 = 96,197/x
  3. Step 3: Cross multiply
    65,684x = 96,197 × 96,197
  4. Step 4: Simplify right side
    65,684x = 9,253,862,809
  5. Step 5: Solve for x
    x = 9,253,862,809/65,684
  6. Step 6: Final answer
    x = 140,884.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.