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Finding the Third Proportional to 122,142 and 193,872

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Solution

The third proportional to 122,142 and 193,872 is: 307,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,142 : 193,872 = 193,872 : x
  2. Step 2: Convert to fraction form
    122,142/193,872 = 193,872/x
  3. Step 3: Cross multiply
    122,142x = 193,872 × 193,872
  4. Step 4: Simplify right side
    122,142x = 37,586,352,384
  5. Step 5: Solve for x
    x = 37,586,352,384/122,142
  6. Step 6: Final answer
    x = 307,726.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.