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Finding the Third Proportional to 123,044 and 192,762

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Solution

The third proportional to 123,044 and 192,762 is: 301,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,044 : 192,762 = 192,762 : x
  2. Step 2: Convert to fraction form
    123,044/192,762 = 192,762/x
  3. Step 3: Cross multiply
    123,044x = 192,762 × 192,762
  4. Step 4: Simplify right side
    123,044x = 37,157,188,644
  5. Step 5: Solve for x
    x = 37,157,188,644/123,044
  6. Step 6: Final answer
    x = 301,982.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.