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Finding the Third Proportional to 96,725 and 213,065

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Solution

The third proportional to 96,725 and 213,065 is: 469,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,725 : 213,065 = 213,065 : x
  2. Step 2: Convert to fraction form
    96,725/213,065 = 213,065/x
  3. Step 3: Cross multiply
    96,725x = 213,065 × 213,065
  4. Step 4: Simplify right side
    96,725x = 45,396,694,225
  5. Step 5: Solve for x
    x = 45,396,694,225/96,725
  6. Step 6: Final answer
    x = 469,337.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.