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Finding the Third Proportional to 123,718 and 192,045

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Solution

The third proportional to 123,718 and 192,045 is: 298,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,718 : 192,045 = 192,045 : x
  2. Step 2: Convert to fraction form
    123,718/192,045 = 192,045/x
  3. Step 3: Cross multiply
    123,718x = 192,045 × 192,045
  4. Step 4: Simplify right side
    123,718x = 36,881,282,025
  5. Step 5: Solve for x
    x = 36,881,282,025/123,718
  6. Step 6: Final answer
    x = 298,107.65

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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.