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Finding the Third Proportional to 123,904 and 192,128

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Solution

The third proportional to 123,904 and 192,128 is: 297,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,904 : 192,128 = 192,128 : x
  2. Step 2: Convert to fraction form
    123,904/192,128 = 192,128/x
  3. Step 3: Cross multiply
    123,904x = 192,128 × 192,128
  4. Step 4: Simplify right side
    123,904x = 36,913,168,384
  5. Step 5: Solve for x
    x = 36,913,168,384/123,904
  6. Step 6: Final answer
    x = 297,917.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.