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Finding the Third Proportional to 96,671 and 141,295

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Solution

The third proportional to 96,671 and 141,295 is: 206,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,671 : 141,295 = 141,295 : x
  2. Step 2: Convert to fraction form
    96,671/141,295 = 141,295/x
  3. Step 3: Cross multiply
    96,671x = 141,295 × 141,295
  4. Step 4: Simplify right side
    96,671x = 19,964,277,025
  5. Step 5: Solve for x
    x = 19,964,277,025/96,671
  6. Step 6: Final answer
    x = 206,517.75

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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.