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Finding the Third Proportional to 96,420 and 207,639

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Solution

The third proportional to 96,420 and 207,639 is: 447,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,420 : 207,639 = 207,639 : x
  2. Step 2: Convert to fraction form
    96,420/207,639 = 207,639/x
  3. Step 3: Cross multiply
    96,420x = 207,639 × 207,639
  4. Step 4: Simplify right side
    96,420x = 43,113,954,321
  5. Step 5: Solve for x
    x = 43,113,954,321/96,420
  6. Step 6: Final answer
    x = 447,147.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.