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Finding the Third Proportional to 96,969 and 207,762

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Solution

The third proportional to 96,969 and 207,762 is: 445,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969 : 207,762 = 207,762 : x
  2. Step 2: Convert to fraction form
    96,969/207,762 = 207,762/x
  3. Step 3: Cross multiply
    96,969x = 207,762 × 207,762
  4. Step 4: Simplify right side
    96,969x = 43,165,048,644
  5. Step 5: Solve for x
    x = 43,165,048,644/96,969
  6. Step 6: Final answer
    x = 445,142.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.